107692242336000 has 4032 divisors, whose sum is σ = 481512955123200. Its totient is φ = 23966104780800.

The previous prime is 107692242335969. The next prime is 107692242336017. The reversal of 107692242336000 is 633242296701.

107692242336000 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 9 + 2 + 2 + 4 + 2 + 33 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 344064671844 + ... + 344064672156.

Almost surely, 2^{107692242336000} is an apocalyptic number.

107692242336000 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 107692242336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240756477561600).

107692242336000 is an abundant number, since it is smaller than the sum of its proper divisors (373820712787200).

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

107692242336000 is an frugal number, since it uses more digits than its factorization.

107692242336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 107692242336000 in words is "one hundred seven trillion, six hundred ninety-two billion, two hundred forty-two million, three hundred thirty-six thousand".