990957100 has 72 divisors (see below), whose sum is σ = 2462620160. Its totient is φ = 339059520.

The previous prime is 990957091. The next prime is 990957127. The reversal of 990957100 is 1759099.

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, 432157 + ... + 434443.

Almost surely, 2^990957100 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 990957100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231310080).

990957100 is an abundant number, since it is smaller than the sum of its proper divisors (1471663060).

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

990957100 is a wasteful number, since it uses less digits than its factorization.

990957100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 40.

The square root of 990957100 is about 31479.4710883140. The cubic root of 990957100 is about 996.9765680719.

The spelling of 990957100 in words is "nine hundred ninety million, nine hundred fifty-seven thousand, one hundred".