107320400517136 has 45 divisors (see below), whose sum is σ = 213708034355319. Its totient is φ = 52209178687872.

The previous prime is 107320400517047. The next prime is 107320400517137. The reversal of 107320400517136 is 631715004023701.

The square root of 107320400517136 is 10359556.

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 58376384517136 + 48944016000000 = 7640444^2 + 6996000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107320400517137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1533179290 + ... + 1533249286.

Almost surely, 2^{107320400517136} is an apocalyptic number.

107320400517136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107320400517136 is the 10359556-th square number.

It is an amenable number.

107320400517136 is a deficient number, since it is larger than the sum of its proper divisors (106387633838183).

107320400517136 is an frugal number, since it uses more digits than its factorization.

107320400517136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140076 (or 70036 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 107320400517136 in words is "one hundred seven trillion, three hundred twenty billion, four hundred million, five hundred seventeen thousand, one hundred thirty-six".