108385149961 has 15 divisors (see below), whose sum is σ = 119826730513. Its totient is φ = 97962405640.

The previous prime is 108385149931. The next prime is 108385150007. The reversal of 108385149961 is 169941583801.

It is a happy number.

The square root of 108385149961 is 329219.

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

It can be written as a sum of positive squares in 2 ways, for example, as 72754812361 + 35630337600 = 269731^2 + 188760^2 .

It is not a de Polignac number, because 108385149961 - 2³³ = 99795215369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108385149931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 626503671 + ... + 626503843.

Almost surely, 2^108385149961 is an apocalyptic number.

108385149961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108385149961 is the 329219-th square number.

108385149961 is the 164610-th centered octagonal number.

It is an amenable number.

108385149961 is a deficient number, since it is larger than the sum of its proper divisors (11441580552).

108385149961 is an frugal number, since it uses more digits than its factorization.

108385149961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 108385149961 in words is "one hundred eight billion, three hundred eighty-five million, one hundred forty-nine thousand, nine hundred sixty-one".