100725611272 has 32 divisors (see below), whose sum is σ = 221878097280. Its totient is φ = 42262493760.

The previous prime is 100725611267. The next prime is 100725611281. The reversal of 100725611272 is 272116527001.

It is a super-2 number, since 2×100725611272² (a number of 23 digits) contains 22 as substring.

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, 44022288 + ... + 44024575.

It is an arithmetic number, because the mean of its divisors is an integer number (6933690540).

Almost surely, 2^100725611272 is an apocalyptic number.

It is an amenable number.

100725611272 is an abundant number, since it is smaller than the sum of its proper divisors (121152486008).

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

100725611272 is a wasteful number, since it uses less digits than its factorization.

100725611272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88046893 (or 88046889 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 100725611272 in words is "one hundred billion, seven hundred twenty-five million, six hundred eleven thousand, two hundred seventy-two".