101872964 has 24 divisors (see below), whose sum is σ = 181550208. Its totient is φ = 50006880.

The previous prime is 101872933. The next prime is 101872973. The reversal of 101872964 is 469278101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123674 + ... + 124494.

It is an arithmetic number, because the mean of its divisors is an integer number (7564592).

Almost surely, 2^101872964 is an apocalyptic number.

It is an amenable number.

101872964 is a deficient number, since it is larger than the sum of its proper divisors (79677244).

101872964 is a wasteful number, since it uses less digits than its factorization.

101872964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 101872964 is about 10093.2137597497. The cubic root of 101872964 is about 467.0388203724.

The spelling of 101872964 in words is "one hundred one million, eight hundred seventy-two thousand, nine hundred sixty-four".