990353100 has 144 divisors (see below), whose sum is σ = 3210794496. Its totient is φ = 233568000.

The previous prime is 990353099. The next prime is 990353129. The reversal of 990353100 is 1353099.

It is a super-2 number, since 2×990353100² = 1961598525359220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118045 + ... + 126155.

It is an arithmetic number, because the mean of its divisors is an integer number (22297184).

Almost surely, 2^990353100 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 990353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605397248).

990353100 is an abundant number, since it is smaller than the sum of its proper divisors (2220441396).

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

990353100 is a wasteful number, since it uses less digits than its factorization.

990353100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8176 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 990353100 is about 31469.8760722059. The cubic root of 990353100 is about 996.7739705923.

The spelling of 990353100 in words is "nine hundred ninety million, three hundred fifty-three thousand, one hundred".