99764100 has 54 divisors (see below), whose sum is σ = 312707850. Its totient is φ = 26603520.

The previous prime is 99764081. The next prime is 99764101. The reversal of 99764100 is 146799.

99764100 is a `hidden beast` number, since 9 + 9 + 7 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28901376 + 70862724 = 5376^2 + 8418^2 .

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99764101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54525 + ... + 56324.

Almost surely, 2^99764100 is an apocalyptic number.

99764100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99764100 is an abundant number, since it is smaller than the sum of its proper divisors (212943750).

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

99764100 is a wasteful number, since it uses less digits than its factorization.

99764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110869 (or 110859 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99764100 is about 9988.1980356819. The cubic root of 99764100 is about 463.7936123838.

The spelling of 99764100 in words is "ninety-nine million, seven hundred sixty-four thousand, one hundred".