99531900 has 216 divisors, whose sum is σ = 345019584. Its totient is φ = 23846400.

The previous prime is 99531893. The next prime is 99531919. The reversal of 99531900 is 913599.

It is a super-2 number, since 2×99531900² = 19813198235220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 549810 + ... + 549990.

Almost surely, 2^99531900 is an apocalyptic number.

99531900 is a gapful number since it is divisible by the number (90) 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 99531900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172509792).

99531900 is an abundant number, since it is smaller than the sum of its proper divisors (245487684).

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

99531900 is a wasteful number, since it uses less digits than its factorization.

99531900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 99531900 is about 9976.5675460050. The cubic root of 99531900 is about 463.4335077758.

The spelling of 99531900 in words is "ninety-nine million, five hundred thirty-one thousand, nine hundred".