100389408 has 192 divisors, whose sum is σ = 319979520. Its totient is φ = 26956800.

The previous prime is 100389397. The next prime is 100389449. The reversal of 100389408 is 804983001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270713 + ... + 1270791.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^100389408 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 100389408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

100389408 is an abundant number, since it is smaller than the sum of its proper divisors (219590112).

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

100389408 is a wasteful number, since it uses less digits than its factorization.

100389408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 100389408 is about 10019.4514819924. The cubic root of 100389408 is about 464.7605936081.

The spelling of 100389408 in words is "one hundred million, three hundred eighty-nine thousand, four hundred eight".