100885400 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 31440000.

The previous prime is 100885387. The next prime is 100885417. The reversal of 100885400 is 4588001.

It is a self number, because there is not a number n which added to its sum of digits gives 100885400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12125 + ... + 18675.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^100885400 is an apocalyptic number.

100885400 is a gapful number since it is divisible by the number (10) 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 100885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

100885400 is an abundant number, since it is smaller than the sum of its proper divisors (191595880).

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

100885400 is a wasteful number, since it uses less digits than its factorization.

100885400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 100885400 is about 10044.1724397782. The cubic root of 100885400 is about 465.5247477212.

The spelling of 100885400 in words is "one hundred million, eight hundred eighty-five thousand, four hundred".