107853396792001 has 81 divisors (see below), whose sum is σ = 134259394988649. Its totient is φ = 86370709571328.

The previous prime is 107853396791999. The next prime is 107853396792017. The reversal of 107853396792001 is 100297693358701.

It is a happy number.

The square root of 107853396792001 is 10385249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70154042391601 + 37699354400400 = 8375801^2 + 6139980^2 .

It is not a de Polignac number, because 107853396792001 - 2¹ = 107853396791999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107853396712001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243461392086 + ... + 243461392528.

Almost surely, 2^{107853396792001} is an apocalyptic number.

107853396792001 is the 10385249-th square number.

107853396792001 is the 5192625-th centered octagonal number.

It is an amenable number.

107853396792001 is a deficient number, since it is larger than the sum of its proper divisors (26405998196648).

107853396792001 is an frugal number, since it uses more digits than its factorization.

107853396792001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 107853396792001 in words is "one hundred seven trillion, eight hundred fifty-three billion, three hundred ninety-six million, seven hundred ninety-two thousand, one".