100572295681 has 32 divisors (see below), whose sum is σ = 125367782400. Its totient is φ = 79265095680.

The previous prime is 100572295669. The next prime is 100572295709. The reversal of 100572295681 is 186592275001.

It is a cyclic number.

It is not a de Polignac number, because 100572295681 - 2²⁷ = 100438077953 is a prime.

It is a super-2 number, since 2×100572295681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100572293681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121265 + ... + 1207633.

It is an arithmetic number, because the mean of its divisors is an integer number (3917743200).

Almost surely, 2^100572295681 is an apocalyptic number.

100572295681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100572295681 is a deficient number, since it is larger than the sum of its proper divisors (24795486719).

100572295681 is a wasteful number, since it uses less digits than its factorization.

100572295681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86889.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 100572295681 in words is "one hundred billion, five hundred seventy-two million, two hundred ninety-five thousand, six hundred eighty-one".