105877751137 has 8 divisors (see below), whose sum is σ = 110260362240. Its totient is φ = 101555590080.

The previous prime is 105877751087. The next prime is 105877751143. The reversal of 105877751137 is 731157778501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105877751137 - 2²⁷ = 105743533409 is a prime.

It is a super-2 number, since 2×105877751137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105877751167) 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 7 ways as a sum of consecutive naturals, for example, 15108937 + ... + 15115942.

It is an arithmetic number, because the mean of its divisors is an integer number (13782545280).

Almost surely, 2^105877751137 is an apocalyptic number.

It is an amenable number.

105877751137 is a deficient number, since it is larger than the sum of its proper divisors (4382611103).

105877751137 is a wasteful number, since it uses less digits than its factorization.

105877751137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30225023.

The product of its (nonzero) digits is 1440600, while the sum is 52.

The spelling of 105877751137 in words is "one hundred five billion, eight hundred seventy-seven million, seven hundred fifty-one thousand, one hundred thirty-seven".