105977053268 has 12 divisors (see below), whose sum is σ = 186269713140. Its totient is φ = 52757135232.

The previous prime is 105977053267. The next prime is 105977053289. The reversal of 105977053268 is 862350779501.

It can be written as a sum of positive squares in 2 ways, for example, as 47244500164 + 58732553104 = 217358^2 + 242348^2 .

It is a super-2 number, since 2×105977053268² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977053267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57846821 + ... + 57848652.

It is an arithmetic number, because the mean of its divisors is an integer number (15522476095).

Almost surely, 2^105977053268 is an apocalyptic number.

It is an amenable number.

105977053268 is a deficient number, since it is larger than the sum of its proper divisors (80292659872).

105977053268 is a wasteful number, since it uses less digits than its factorization.

105977053268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115695706 (or 115695704 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 105977053268 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, two hundred sixty-eight".