101585968 has 20 divisors (see below), whose sum is σ = 214716168. Its totient is φ = 46175360.

The previous prime is 101585959. The next prime is 101585969. The reversal of 101585968 is 869585101.

It is not an unprimeable number, because it can be changed into a prime (101585969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288421 + ... + 288772.

Almost surely, 2^101585968 is an apocalyptic number.

It is an amenable number.

101585968 is an abundant number, since it is smaller than the sum of its proper divisors (113130200).

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

101585968 is a wasteful number, since it uses less digits than its factorization.

101585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577212 (or 577206 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The square root of 101585968 is about 10078.9864569807. The cubic root of 101585968 is about 466.5998280692.

The spelling of 101585968 in words is "one hundred one million, five hundred eighty-five thousand, nine hundred sixty-eight".