100990400 has 168 divisors, whose sum is σ = 290267136. Its totient is φ = 33868800.

The previous prime is 100990397. The next prime is 100990423. The reversal of 100990400 is 4099001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795137 + ... + 795263.

Almost surely, 2^100990400 is an apocalyptic number.

100990400 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 100990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145133568).

100990400 is an abundant number, since it is smaller than the sum of its proper divisors (189276736).

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

100990400 is a wasteful number, since it uses less digits than its factorization.

100990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 100990400 is about 10049.3979919197. The cubic root of 100990400 is about 465.6861954313.

The spelling of 100990400 in words is "one hundred million, nine hundred ninety thousand, four hundred".