107966688052804 has 27 divisors (see below), whose sum is σ = 219789625385757. Its totient is φ = 46271375392704.

The previous prime is 107966688052757. The next prime is 107966688052819. The reversal of 107966688052804 is 408250886669701.

The square root of 107966688052804 is 10390702.

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

It can be written as a sum of positive squares in only one way, i.e., 103507630776900 + 4459057275904 = 10173870^2 + 2111648^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

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, 145098732 + ... + 145840924.

Almost surely, 2^{107966688052804} is an apocalyptic number.

107966688052804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107966688052804 is the 10390702-nd square number.

It is an amenable number.

107966688052804 is an abundant number, since it is smaller than the sum of its proper divisors (111822937332953).

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

107966688052804 is an frugal number, since it uses more digits than its factorization.

107966688052804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484404 (or 742202 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 107966688052804 in words is "one hundred seven trillion, nine hundred sixty-six billion, six hundred eighty-eight million, fifty-two thousand, eight hundred four".