100884912 has 80 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 32256000.

The previous prime is 100884893. The next prime is 100884913. The reversal of 100884912 is 219488001.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100884913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224464 + ... + 224912.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^100884912 is an apocalyptic number.

100884912 is a gapful number since it is divisible by the number (12) 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 100884912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

100884912 is an abundant number, since it is smaller than the sum of its proper divisors (170526288).

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

100884912 is a wasteful number, since it uses less digits than its factorization.

100884912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 100884912 is about 10044.1481470556. The cubic root of 100884912 is about 465.5239971123.

The spelling of 100884912 in words is "one hundred million, eight hundred eighty-four thousand, nine hundred twelve".