107746579811025 has 135 divisors (see below), whose sum is σ = 200600515558443. Its totient is φ = 57173618340000.

The previous prime is 107746579810981. The next prime is 107746579811029. The reversal of 107746579811025 is 520118975647701.

The square root of 107746579811025 is 10380105.

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

107746579811025 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 46 + 579 + 8 + 1 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38788768731969 + 68957811079056 = 6228063^2 + 8304084^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 107746579811025 - 2¹¹ = 107746579808977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107746579811029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 117243285516 + ... + 117243286434.

Almost surely, 2^{107746579811025} is an apocalyptic number.

107746579811025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107746579811025 is the 10380105-th square number.

107746579811025 is the 5190053-rd centered octagonal number.

It is an amenable number.

107746579811025 is a deficient number, since it is larger than the sum of its proper divisors (92853935747418).

107746579811025 is an frugal number, since it uses more digits than its factorization.

107746579811025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 107746579811025 in words is "one hundred seven trillion, seven hundred forty-six billion, five hundred seventy-nine million, eight hundred eleven thousand, twenty-five".