100655856 has 120 divisors (see below), whose sum is σ = 327416544. Its totient is φ = 28270080.

The previous prime is 100655813. The next prime is 100655857. The reversal of 100655856 is 658556001.

100655856 is a `hidden beast` number, since 10 + 0 + 65 + 585 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 100655856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100655857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60670 + ... + 62306.

Almost surely, 2^100655856 is an apocalyptic number.

100655856 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 100655856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163708272).

100655856 is an abundant number, since it is smaller than the sum of its proper divisors (226760688).

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

100655856 is a wasteful number, since it uses less digits than its factorization.

100655856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 100655856 is about 10032.7392072155. The cubic root of 100655856 is about 465.1714109646.

The spelling of 100655856 in words is "one hundred million, six hundred fifty-five thousand, eight hundred fifty-six".