101564320 has 192 divisors, whose sum is σ = 295674624. Its totient is φ = 32440320.

The previous prime is 101564317. The next prime is 101564357. The reversal of 101564320 is 23465101.

It is a super-2 number, since 2×101564320² = 20630622194124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101564291 and 101564300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526144 + ... + 526336.

It is an arithmetic number, because the mean of its divisors is an integer number (1539972).

Almost surely, 2^101564320 is an apocalyptic number.

101564320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147837312).

101564320 is an abundant number, since it is smaller than the sum of its proper divisors (194110304).

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

101564320 is a wasteful number, since it uses less digits than its factorization.

101564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 101564320 is about 10077.9124822554. The cubic root of 101564320 is about 466.5666815272.

The spelling of 101564320 in words is "one hundred one million, five hundred sixty-four thousand, three hundred twenty".