107040460913296 has 45 divisors (see below), whose sum is σ = 209472778299963. Its totient is φ = 52988257977600.

The previous prime is 107040460913279. The next prime is 107040460913303. The reversal of 107040460913296 is 692319064040701.

The square root of 107040460913296 is 10346036.

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 101147995959696 + 5892464953600 = 10057236^2 + 2427440^2 .

It is a super-2 number, since 2×107040460913296² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4179785740 + ... + 4179811348.

Almost surely, 2^{107040460913296} is an apocalyptic number.

107040460913296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107040460913296 is the 10346036-th square number.

It is an amenable number.

107040460913296 is a deficient number, since it is larger than the sum of its proper divisors (102432317386667).

107040460913296 is an frugal number, since it uses more digits than its factorization.

107040460913296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51428 (or 25712 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 107040460913296 in words is "one hundred seven trillion, forty billion, four hundred sixty million, nine hundred thirteen thousand, two hundred ninety-six".