101796864 has 88 divisors (see below), whose sum is σ = 292311600. Its totient is φ = 31309824.

The previous prime is 101796859. The next prime is 101796887. The reversal of 101796864 is 468697101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38662 + ... + 41210.

Almost surely, 2^101796864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146155800).

101796864 is an abundant number, since it is smaller than the sum of its proper divisors (190514736).

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

101796864 is a wasteful number, since it uses less digits than its factorization.

101796864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 101796864 is about 10089.4431957368. The cubic root of 101796864 is about 466.9224973675.

The spelling of 101796864 in words is "one hundred one million, seven hundred ninety-six thousand, eight hundred sixty-four".