100299064320 has 2112 divisors, whose sum is σ = 479858722560. Its totient is φ = 19619905536.

The previous prime is 100299064301. The next prime is 100299064321. The reversal of 100299064320 is 23460992001.

100299064320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 9 + 9 + 0 + 643 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100299064321) 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 191 ways as a sum of consecutive naturals, for example, 1497000927 + ... + 1497000993.

Almost surely, 2^100299064320 is an apocalyptic number.

100299064320 is a gapful number since it is divisible by the number (10) 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 100299064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239929361280).

100299064320 is an abundant number, since it is smaller than the sum of its proper divisors (379559658240).

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

100299064320 is a wasteful number, since it uses less digits than its factorization.

100299064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 100299064320 in words is "one hundred billion, two hundred ninety-nine million, sixty-four thousand, three hundred twenty".