108110097601 has 27 divisors (see below), whose sum is σ = 120815992227. Its totient is φ = 96667494000.

The previous prime is 108110097577. The next prime is 108110097673. The reversal of 108110097601 is 106790011801.

The square root of 108110097601 is 328801.

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., 512977201 + 107597120400 = 22649^2 + 328020^2 .

It is not a de Polignac number, because 108110097601 - 2⁵ = 108110097569 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108110097401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256793371 + ... + 256793791.

Almost surely, 2^108110097601 is an apocalyptic number.

108110097601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108110097601 is the 328801-st square number.

108110097601 is the 164401-st centered octagonal number.

It is an amenable number.

108110097601 is a deficient number, since it is larger than the sum of its proper divisors (12705894626).

108110097601 is an frugal number, since it uses more digits than its factorization.

108110097601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 34.

The spelling of 108110097601 in words is "one hundred eight billion, one hundred ten million, ninety-seven thousand, six hundred one".