100394536320 has 1536 divisors, whose sum is σ = 431136276480. Its totient is φ = 22072393728.

The previous prime is 100394536309. The next prime is 100394536379. The reversal of 100394536320 is 23635493001.

It is a happy number.

100394536320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 94 + 536 + 32 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 790508097 + ... + 790508223.

It is an arithmetic number, because the mean of its divisors is an integer number (280687680).

Almost surely, 2^100394536320 is an apocalyptic number.

100394536320 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 100394536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215568138240).

100394536320 is an abundant number, since it is smaller than the sum of its proper divisors (330741740160).

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

100394536320 is a wasteful number, since it uses less digits than its factorization.

100394536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 100394536320 in words is "one hundred billion, three hundred ninety-four million, five hundred thirty-six thousand, three hundred twenty".