107555793849 has 135 divisors (see below), whose sum is σ = 191436650223. Its totient is φ = 58182195456.

The previous prime is 107555793799. The next prime is 107555793857. The reversal of 107555793849 is 948397555701.

The square root of 107555793849 is 327957.

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

107555793849 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 557 + 9 + 38 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48296655225 + 59259138624 = 219765^2 + 243432^2 .

It is not a de Polignac number, because 107555793849 - 2⁹ = 107555793337 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (107555793049) 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 134 ways as a sum of consecutive naturals, for example, 1108822569 + ... + 1108822665.

Almost surely, 2^107555793849 is an apocalyptic number.

107555793849 is the 327957-th square number.

107555793849 is the 163979-th centered octagonal number.

It is an amenable number.

107555793849 is a deficient number, since it is larger than the sum of its proper divisors (83880856374).

107555793849 is an frugal number, since it uses more digits than its factorization.

107555793849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 107555793849 in words is "one hundred seven billion, five hundred fifty-five million, seven hundred ninety-three thousand, eight hundred forty-nine".