107386634601 has 63 divisors (see below), whose sum is σ = 164821200789. Its totient is φ = 69933588192.

The previous prime is 107386634591. The next prime is 107386634633. The reversal of 107386634601 is 106436683701.

The square root of 107386634601 is 327699.

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

107386634601 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 6 + 6 + 34 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49798154025 + 57588480576 = 223155^2 + 239976^2 .

It is a de Polignac number, because none of the positive numbers 2^k-107386634601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107386634401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 468937155 + ... + 468937383.

Almost surely, 2^107386634601 is an apocalyptic number.

107386634601 is the 327699-th square number.

107386634601 is the 163850-th centered octagonal number.

It is an amenable number.

107386634601 is a deficient number, since it is larger than the sum of its proper divisors (57434566188).

107386634601 is an frugal number, since it uses more digits than its factorization.

107386634601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 107386634601 in words is "one hundred seven billion, three hundred eighty-six million, six hundred thirty-four thousand, six hundred one".