100955277672 has 64 divisors (see below), whose sum is σ = 258879561600. Its totient is φ = 32796368640.

The previous prime is 100955277671. The next prime is 100955277679. The reversal of 100955277672 is 276772559001.

100955277672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100955277671) 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 15 ways as a sum of consecutive naturals, for example, 156748 + ... + 475899.

It is an arithmetic number, because the mean of its divisors is an integer number (4044993150).

Almost surely, 2^100955277672 is an apocalyptic number.

100955277672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100955277672 is an abundant number, since it is smaller than the sum of its proper divisors (157924283928).

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

100955277672 is a wasteful number, since it uses less digits than its factorization.

100955277672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632826 (or 632822 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 100955277672 in words is "one hundred billion, nine hundred fifty-five million, two hundred seventy-seven thousand, six hundred seventy-two".