100188928 has 90 divisors (see below), whose sum is σ = 234735004. Its totient is φ = 42674688.

The previous prime is 100188911. The next prime is 100188929. The reversal of 100188928 is 829881001.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (100188929) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 614575 + ... + 614737.

Almost surely, 2^100188928 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 100188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117367502).

100188928 is an abundant number, since it is smaller than the sum of its proper divisors (134546076).

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

100188928 is an frugal number, since it uses more digits than its factorization.

100188928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 100188928 is about 10009.4419424861. The cubic root of 100188928 is about 464.4510081683.

The spelling of 100188928 in words is "one hundred million, one hundred eighty-eight thousand, nine hundred twenty-eight".