99931321800 has 108 divisors (see below), whose sum is σ = 335647736385. Its totient is φ = 26644776000.

The previous prime is 99931321793. The next prime is 99931321949. The reversal of 99931321800 is 812313999.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97932695364 + 1998626436 = 312942^2 + 44706^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223530.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13408075 + ... + 13415525.

Almost surely, 2^99931321800 is an apocalyptic number.

99931321800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99931321800 is an abundant number, since it is smaller than the sum of its proper divisors (235716414585).

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

99931321800 is an equidigital number, since it uses as much as digits as its factorization.

99931321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 99931321800 in words is "ninety-nine billion, nine hundred thirty-one million, three hundred twenty-one thousand, eight hundred".