107030992795200 has 252 divisors, whose sum is σ = 380722510616448. Its totient is φ = 28518407654400.

The previous prime is 107030992795159. The next prime is 107030992795283. The reversal of 107030992795200 is 2597299030701.

107030992795200 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 3 + 0 + 99 + 27 + 9 + 520 + 0 = 666.

It is a super-2 number, since 2×107030992795200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14707429 + ... + 20745371.

Almost surely, 2^{107030992795200} is an apocalyptic number.

107030992795200 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 107030992795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190361255308224).

107030992795200 is an abundant number, since it is smaller than the sum of its proper divisors (273691517821248).

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

107030992795200 is a wasteful number, since it uses less digits than its factorization.

107030992795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039202 (or 6039184 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 107030992795200 in words is "one hundred seven trillion, thirty billion, nine hundred ninety-two million, seven hundred ninety-five thousand, two hundred".