108517201 has 16 divisors (see below), whose sum is σ = 121398480. Its totient is φ = 96353280.

The previous prime is 108517193. The next prime is 108517261. The reversal of 108517201 is 102715801.

It can be written as a sum of positive squares in 8 ways, for example, as 14814801 + 93702400 = 3849^2 + 9680^2 .

It is not a de Polignac number, because 108517201 - 2³ = 108517193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108517261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37515 + ... + 40303.

It is an arithmetic number, because the mean of its divisors is an integer number (7587405).

Almost surely, 2^108517201 is an apocalyptic number.

It is an amenable number.

108517201 is a deficient number, since it is larger than the sum of its proper divisors (12881279).

108517201 is a wasteful number, since it uses less digits than its factorization.

108517201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 108517201 is about 10417.1589696999. The cubic root of 108517201 is about 476.9792955134.

The spelling of 108517201 in words is "one hundred eight million, five hundred seventeen thousand, two hundred one".