99656657100 has 1728 divisors, whose sum is σ = 462432402432. Its totient is φ = 17915904000.

The previous prime is 99656657077. The next prime is 99656657143. The reversal of 99656657100 is 175665699.

99656657100 is a `hidden beast` number, since 9 + 9 + 6 + 5 + 66 + 571 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 413512980 + ... + 413513220.

It is an arithmetic number, because the mean of its divisors is an integer number (267611344).

Almost surely, 2^99656657100 is an apocalyptic number.

99656657100 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 99656657100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231216201216).

99656657100 is an abundant number, since it is smaller than the sum of its proper divisors (362775745332).

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

99656657100 is a wasteful number, since it uses less digits than its factorization.

99656657100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 99656657100 in words is "ninety-nine billion, six hundred fifty-six million, six hundred fifty-seven thousand, one hundred".