105877552568 has 32 divisors (see below), whose sum is σ = 199872921600. Its totient is φ = 52579268448.

The previous prime is 105877552511. The next prime is 105877552579. The reversal of 105877552568 is 865255778501.

It is a happy number.

It is a super-2 number, since 2×105877552568² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660005 + ... + 804587.

It is an arithmetic number, because the mean of its divisors is an integer number (6246028800).

Almost surely, 2^105877552568 is an apocalyptic number.

It is an amenable number.

105877552568 is a deficient number, since it is larger than the sum of its proper divisors (93995369032).

105877552568 is a wasteful number, since it uses less digits than its factorization.

105877552568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145211 (or 145207 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 59.

The spelling of 105877552568 in words is "one hundred five billion, eight hundred seventy-seven million, five hundred fifty-two thousand, five hundred sixty-eight".