99910020 has 144 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 21482496.

The previous prime is 99910007. The next prime is 99910039. The reversal of 99910020 is 2001999.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99910020.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48981 + ... + 50979.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^99910020 is an apocalyptic number.

It is a pronic number, being equal to 9995×9996.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99910020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

99910020 is an abundant number, since it is smaller than the sum of its proper divisors (244825980).

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

99910020 is a wasteful number, since it uses less digits than its factorization.

99910020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 99910020 is about 9995.4999874944. The cubic root of 99910020 is about 464.0196248636.

The spelling of 99910020 in words is "ninety-nine million, nine hundred ten thousand, twenty".