100725888 has 64 divisors (see below), whose sum is σ = 273294720. Its totient is φ = 32855040.

The previous prime is 100725887. The next prime is 100725931. The reversal of 100725888 is 888527001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (100725881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15258 + ... + 20838.

It is an arithmetic number, because the mean of its divisors is an integer number (4270230).

Almost surely, 2^100725888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136647360).

100725888 is an abundant number, since it is smaller than the sum of its proper divisors (172568832).

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

100725888 is an equidigital number, since it uses as much as digits as its factorization.

100725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 100725888 is about 10036.2287737975. The cubic root of 100725888 is about 465.2792680176.

The spelling of 100725888 in words is "one hundred million, seven hundred twenty-five thousand, eight hundred eighty-eight".