107305151792 has 80 divisors (see below), whose sum is σ = 231210201600. Its totient is φ = 48031683840.

The previous prime is 107305151783. The next prime is 107305151803. The reversal of 107305151792 is 297151503701.

It is a super-2 number, since 2×107305151792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284867 + ... + 543837.

It is an arithmetic number, because the mean of its divisors is an integer number (2890127520).

Almost surely, 2^107305151792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107305151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115605100800).

107305151792 is an abundant number, since it is smaller than the sum of its proper divisors (123905049808).

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

107305151792 is a wasteful number, since it uses less digits than its factorization.

107305151792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259074 (or 259068 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 41.

The spelling of 107305151792 in words is "one hundred seven billion, three hundred five million, one hundred fifty-one thousand, seven hundred ninety-two".