10056066100 has 72 divisors (see below), whose sum is σ = 23902142040. Its totient is φ = 3655249920.

The previous prime is 10056066073. The next prime is 10056066133. The reversal of 10056066100 is 166065001.

It can be written as a sum of positive squares in 12 ways, for example, as 12418576 + 10043647524 = 3524^2 + 100218^2 .

It is a super-2 number, since 2×10056066100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52689 + ... + 151288.

It is an arithmetic number, because the mean of its divisors is an integer number (331974195).

Almost surely, 2^10056066100 is an apocalyptic number.

10056066100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056066100 is an abundant number, since it is smaller than the sum of its proper divisors (13846075940).

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

10056066100 is a wasteful number, since it uses less digits than its factorization.

10056066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204037 (or 204030 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 10056066100 in words is "ten billion, fifty-six million, sixty-six thousand, one hundred".