101917872 has 80 divisors (see below), whose sum is σ = 334343680. Its totient is φ = 29118528.

The previous prime is 101917867. The next prime is 101917883. The reversal of 101917872 is 278719101.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13828 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (4179296).

Almost surely, 2^101917872 is an apocalyptic number.

101917872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101917872 is an abundant number, since it is smaller than the sum of its proper divisors (232425808).

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

101917872 is a wasteful number, since it uses less digits than its factorization.

101917872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33727 (or 33715 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 101917872 is about 10095.4381777118. The cubic root of 101917872 is about 467.1074375251.

The spelling of 101917872 in words is "one hundred one million, nine hundred seventeen thousand, eight hundred seventy-two".