Properties of the Number 10106

Ten Thousand One Hundred Six

Basics

Value: 10105 → 10106 → 10107

Parity: even

Prime: No

Previous Prime: 10103

Next Prime: 10111

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 31 × 163

Divisors: 1, 2, 31, 62, 163, 326, 5053, 10106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011101111010

Octal: 23572

Duodecimal: 5A22

Hexadecimal: 277a

Square: 102131236

Square Root: 100.52860289489753

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of times the digit 1 appears in the first 10ⁿ decimal digits of sqrt(2), sometimes called Pythagoras's constant, counting after the decimal point. A322642

Numbers n such that A234519(n) = n. A234524

Positions of 2's in A264977; positions of 3's in A277330. A277712

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4. A196322

a(n) = 5·n² + 20·n + 1. A162316

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,4,0,2,3 for x=0,1,2,3,4. A196343

Numbers k for which A354102(k) = A354102(σ(k)). A354106

Numbers which may represent a date in "condensed European notation" DDMMYY. A213182

Numbers which may represent a date in "condensed American notation" MMDDYY. A213184

a(n) = n*(21·n + 1)/2. A22279