10656989100 has 144 divisors (see below), whose sum is σ = 34531123200. Its totient is φ = 2819396160.

The previous prime is 10656989041. The next prime is 10656989111. The reversal of 10656989100 is 198965601.

10656989100 is a `hidden beast` number, since 1 + 0 + 6 + 569 + 89 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×10656989100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327361 + ... + 358439.

Almost surely, 2^10656989100 is an apocalyptic number.

10656989100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656989100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17265561600).

10656989100 is an abundant number, since it is smaller than the sum of its proper divisors (23874134100).

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

10656989100 is a wasteful number, since it uses less digits than its factorization.

10656989100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31229 (or 31216 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10656989100 in words is "ten billion, six hundred fifty-six million, nine hundred eighty-nine thousand, one hundred".