100007056720 has 40 divisors (see below), whose sum is σ = 232532304480. Its totient is φ = 40000087680.

The previous prime is 100007056673. The next prime is 100007056781. The reversal of 100007056720 is 27650700001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100007056720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1465111 + ... + 1531849.

It is an arithmetic number, because the mean of its divisors is an integer number (5813307612).

Almost surely, 2^100007056720 is an apocalyptic number.

100007056720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100007056720 is an abundant number, since it is smaller than the sum of its proper divisors (132525247760).

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

100007056720 is a wasteful number, since it uses less digits than its factorization.

100007056720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85483 (or 85477 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 100007056720 its reverse (27650700001), we get a palindrome (127657756721).

The spelling of 100007056720 in words is "one hundred billion, seven million, fifty-six thousand, seven hundred twenty".