107020928488464 has 135 divisors (see below), whose sum is σ = 300157213307133. Its totient is φ = 35596716725376.

The previous prime is 107020928488417. The next prime is 107020928488553. The reversal of 107020928488464 is 464884829020701.

The square root of 107020928488464 is 10345092.

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

107020928488464 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 0 + 92 + 8 + 4 + 88 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90169837808400 + 16851090680064 = 9495780^2 + 4105008^2 .

It is a super-2 number, since 2×107020928488464² (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 26 ways as a sum of consecutive naturals, for example, 108871747717 + ... + 108871748699.

Almost surely, 2^{107020928488464} is an apocalyptic number.

107020928488464 is the 10345092-nd square number.

It is an amenable number.

107020928488464 is an abundant number, since it is smaller than the sum of its proper divisors (193136284818669).

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

107020928488464 is an frugal number, since it uses more digits than its factorization.

107020928488464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 107020928488464 in words is "one hundred seven trillion, twenty billion, nine hundred twenty-eight million, four hundred eighty-eight thousand, four hundred sixty-four".