100525856 has 48 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 48576000.

The previous prime is 100525823. The next prime is 100525907. The reversal of 100525856 is 658525001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133481 + ... + 134231.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2^100525856 is an apocalyptic number.

100525856 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 100525856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

100525856 is an abundant number, since it is smaller than the sum of its proper divisors (104138464).

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

100525856 is an equidigital number, since it uses as much as digits as its factorization.

100525856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 100525856 is about 10026.2583250184. The cubic root of 100525856 is about 464.9710638332.

The spelling of 100525856 in words is "one hundred million, five hundred twenty-five thousand, eight hundred fifty-six".