10566116100 has 54 divisors (see below), whose sum is σ = 33118906730. Its totient is φ = 2817630720.

The previous prime is 10566116083. The next prime is 10566116101. The reversal of 10566116100 is 161166501.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 10535380164 = 5544^2 + 102642^2 .

It is a super-2 number, since 2×10566116100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10566116101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5869165 + ... + 5870964.

Almost surely, 2^10566116100 is an apocalyptic number.

10566116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10566116100 is an abundant number, since it is smaller than the sum of its proper divisors (22552790630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10566116100 is a wasteful number, since it uses less digits than its factorization.

10566116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740149 (or 11740139 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10566116100 in words is "ten billion, five hundred sixty-six million, one hundred sixteen thousand, one hundred".