101872965 has 32 divisors (see below), whose sum is σ = 172339200. Its totient is φ = 51243840.

The previous prime is 101872933. The next prime is 101872973. The reversal of 101872965 is 569278101.

It is not a de Polignac number, because 101872965 - 2⁵ = 101872933 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76576 + ... + 77894.

It is an arithmetic number, because the mean of its divisors is an integer number (5385600).

Almost surely, 2^101872965 is an apocalyptic number.

101872965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101872965 is a deficient number, since it is larger than the sum of its proper divisors (70466235).

101872965 is a wasteful number, since it uses less digits than its factorization.

101872965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617.

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 101872965 is about 10093.2138092879. The cubic root of 101872965 is about 467.0388219006.

The spelling of 101872965 in words is "one hundred one million, eight hundred seventy-two thousand, nine hundred sixty-five".