101564496 has 240 divisors, whose sum is σ = 336436800. Its totient is φ = 29272320.

The previous prime is 101564479. The next prime is 101564497. The reversal of 101564496 is 694465101.

101564496 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 644 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101564496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101564497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1515855 + ... + 1515921.

It is an arithmetic number, because the mean of its divisors is an integer number (1401820).

Almost surely, 2^101564496 is an apocalyptic number.

101564496 is a gapful number since it is divisible by the number (16) 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 101564496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218400).

101564496 is an abundant number, since it is smaller than the sum of its proper divisors (234872304).

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

101564496 is a wasteful number, since it uses less digits than its factorization.

101564496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 101564496 is about 10077.9212142187. The cubic root of 101564496 is about 466.5669510302.

The spelling of 101564496 in words is "one hundred one million, five hundred sixty-four thousand, four hundred ninety-six".