108637907548401 has 81 divisors (see below), whose sum is σ = 200648956992939. Its totient is φ = 56434025894400.

The previous prime is 108637907548327. The next prime is 108637907548553. The reversal of 108637907548401 is 104845709736801.

The square root of 108637907548401 is 10422951.

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

108637907548401 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 37 + 90 + 75 + 48 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4012013006001 + 104625894542400 = 2003001^2 + 10228680^2 .

It is not a de Polignac number, because 108637907548401 - 2³¹ = 108635760064753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108637907528401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2407679121 + ... + 2407724241.

Almost surely, 2^{108637907548401} is an apocalyptic number.

108637907548401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108637907548401 is the 10422951-st square number.

108637907548401 is the 5211476-th centered octagonal number.

It is an amenable number.

108637907548401 is a deficient number, since it is larger than the sum of its proper divisors (92011049444538).

108637907548401 is an frugal number, since it uses more digits than its factorization.

108637907548401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90284 (or 45142 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 108637907548401 in words is "one hundred eight trillion, six hundred thirty-seven billion, nine hundred seven million, five hundred forty-eight thousand, four hundred one".