101645856 has 144 divisors (see below), whose sum is σ = 329808024. Its totient is φ = 29417472.

The previous prime is 101645759. The next prime is 101645861. The reversal of 101645856 is 658546101.

101645856 is a `hidden beast` number, since 1 + 0 + 1 + 645 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 32490000 = 8316^2 + 5700^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 101645856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62850 + ... + 64446.

Almost surely, 2^101645856 is an apocalyptic number.

101645856 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 101645856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164904012).

101645856 is an abundant number, since it is smaller than the sum of its proper divisors (228162168).

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

101645856 is a wasteful number, since it uses less digits than its factorization.

101645856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 101645856 is about 10081.9569528936. The cubic root of 101645856 is about 466.6915016262.

The spelling of 101645856 in words is "one hundred one million, six hundred forty-five thousand, eight hundred fifty-six".