101171972 has 48 divisors (see below), whose sum is σ = 201352704. Its totient is φ = 44431200.

The previous prime is 101171953. The next prime is 101172011. The reversal of 101171972 is 279171101.

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, 164738 + ... + 165350.

It is an arithmetic number, because the mean of its divisors is an integer number (4194848).

Almost surely, 2^101171972 is an apocalyptic number.

It is an amenable number.

101171972 is a deficient number, since it is larger than the sum of its proper divisors (100180732).

101171972 is a wasteful number, since it uses less digits than its factorization.

101171972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 29.

The square root of 101171972 is about 10058.4279089727. The cubic root of 101171972 is about 465.9651161666.

The spelling of 101171972 in words is "one hundred one million, one hundred seventy-one thousand, nine hundred seventy-two".