99533700 has 324 divisors, whose sum is σ = 378837732. Its totient is φ = 21772800.

The previous prime is 99533689. The next prime is 99533711. The reversal of 99533700 is 733599.

It is an interprime number because it is at equal distance from previous prime (99533689) and next prime (99533711).

It can be written as a sum of positive squares in 6 ways, for example, as 4588164 + 94945536 = 2142^2 + 9744^2 .

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 107 ways as a sum of consecutive naturals, for example, 1631670 + ... + 1631730.

Almost surely, 2^99533700 is an apocalyptic number.

99533700 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 99533700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189418866).

99533700 is an abundant number, since it is smaller than the sum of its proper divisors (279304032).

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

99533700 is a wasteful number, since it uses less digits than its factorization.

99533700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 99533700 is about 9976.6577569846. The cubic root of 99533700 is about 463.4363014372.

The spelling of 99533700 in words is "ninety-nine million, five hundred thirty-three thousand, seven hundred".