105112535577 has 16 divisors (see below), whose sum is σ = 160176307200. Its totient is φ = 60062496912.

The previous prime is 105112535573. The next prime is 105112535587. The reversal of 105112535577 is 775535211501.

It is not a de Polignac number, because 105112535577 - 2² = 105112535573 is a prime.

It is a super-4 number, since 4×105112535577⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105112535573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985924 + ... + 1087322.

It is an arithmetic number, because the mean of its divisors is an integer number (10011019200).

Almost surely, 2^105112535577 is an apocalyptic number.

It is an amenable number.

105112535577 is a deficient number, since it is larger than the sum of its proper divisors (55063771623).

105112535577 is a wasteful number, since it uses less digits than its factorization.

105112535577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150772.

The product of its (nonzero) digits is 183750, while the sum is 42.

The spelling of 105112535577 in words is "one hundred five billion, one hundred twelve million, five hundred thirty-five thousand, five hundred seventy-seven".