101931264 has 72 divisors (see below), whose sum is σ = 301449120. Its totient is φ = 33974784.

The previous prime is 101931233. The next prime is 101931283. The reversal of 101931264 is 462139101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 14285.

Almost surely, 2^101931264 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 101931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150724560).

101931264 is an abundant number, since it is smaller than the sum of its proper divisors (199517856).

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

101931264 is an equidigital number, since it uses as much as digits as its factorization.

101931264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101931264 is about 10096.1014257980. The cubic root of 101931264 is about 467.1278959221.

The spelling of 101931264 in words is "one hundred one million, nine hundred thirty-one thousand, two hundred sixty-four".