100905856 has 32 divisors (see below), whose sum is σ = 203796000. Its totient is φ = 49757184.

The previous prime is 100905817. The next prime is 100905869. The reversal of 100905856 is 658509001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3945 + ... + 14743.

It is an arithmetic number, because the mean of its divisors is an integer number (6368625).

Almost surely, 2^100905856 is an apocalyptic number.

100905856 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 100905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101898000).

100905856 is an abundant number, since it is smaller than the sum of its proper divisors (102890144).

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

100905856 is an equidigital number, since it uses as much as digits as its factorization.

100905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 100905856 is about 10045.1906900765. The cubic root of 100905856 is about 465.5562095934.

It can be divided in two parts, 100905 and 856, that added together give a square (101761 = 319²).

The spelling of 100905856 in words is "one hundred million, nine hundred five thousand, eight hundred fifty-six".