101087856 has 60 divisors (see below), whose sum is σ = 284840400. Its totient is φ = 33465600.

The previous prime is 101087851. The next prime is 101087887. The reversal of 101087856 is 658780101.

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 101087856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101087851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19420 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (4747340).

Almost surely, 2^101087856 is an apocalyptic number.

101087856 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 101087856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142420200).

101087856 is an abundant number, since it is smaller than the sum of its proper divisors (183752544).

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

101087856 is a wasteful number, since it uses less digits than its factorization.

101087856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 101087856 is about 10054.2456703623. The cubic root of 101087856 is about 465.8359434045.

The spelling of 101087856 in words is "one hundred one million, eighty-seven thousand, eight hundred fifty-six".