101607433872 has 80 divisors (see below), whose sum is σ = 301506809472. Its totient is φ = 28883312640.

The previous prime is 101607433861. The next prime is 101607433913. The reversal of 101607433872 is 278334706101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701329 + ... + 833712.

Almost surely, 2^101607433872 is an apocalyptic number.

101607433872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101607433872 is an abundant number, since it is smaller than the sum of its proper divisors (199899375600).

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

101607433872 is a wasteful number, since it uses less digits than its factorization.

101607433872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535256 (or 1535250 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 101607433872 in words is "one hundred one billion, six hundred seven million, four hundred thirty-three thousand, eight hundred seventy-two".