99866900 has 108 divisors (see below), whose sum is σ = 256038300. Its totient is φ = 33707520.

The previous prime is 99866873. The next prime is 99866909. The reversal of 99866900 is 966899.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 226576 + 99640324 = 476^2 + 9982^2 .

It is a super-2 number, since 2×99866900² = 19946795431220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99866909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435986 + ... + 436214.

It is an arithmetic number, because the mean of its divisors is an integer number (2370725).

Almost surely, 2^99866900 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 99866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128019150).

99866900 is an abundant number, since it is smaller than the sum of its proper divisors (156171400).

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

99866900 is a wasteful number, since it uses less digits than its factorization.

99866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 99866900 is about 9993.3427840738. The cubic root of 99866900 is about 463.9528601040.

The spelling of 99866900 in words is "ninety-nine million, eight hundred sixty-six thousand, nine hundred".