108906577 has 16 divisors (see below), whose sum is σ = 121059792. Its totient is φ = 97320960.

The previous prime is 108906569. The next prime is 108906593. The reversal of 108906577 is 775609801.

It can be written as a sum of positive squares in 8 ways, for example, as 3721041 + 105185536 = 1929^2 + 10256^2 .

It is a cyclic number.

It is not a de Polignac number, because 108906577 - 2³ = 108906569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108906527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123177 + ... + 124057.

It is an arithmetic number, because the mean of its divisors is an integer number (7566237).

Almost surely, 2^108906577 is an apocalyptic number.

It is an amenable number.

108906577 is a deficient number, since it is larger than the sum of its proper divisors (12153215).

108906577 is a wasteful number, since it uses less digits than its factorization.

108906577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188.

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 108906577 is about 10435.8313995580. The cubic root of 108906577 is about 477.5491056285.

The spelling of 108906577 in words is "one hundred eight million, nine hundred six thousand, five hundred seventy-seven".