105551362665 has 24 divisors (see below), whose sum is σ = 209092223808. Its totient is φ = 48252051360.

The previous prime is 105551362613. The next prime is 105551362687. The reversal of 105551362665 is 566263155501.

105551362665 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 13 + 626 + 6 + 5 = 666.

It is not a de Polignac number, because 105551362665 - 2⁸ = 105551362409 is a prime.

It is a super-2 number, since 2×105551362665² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105551362665.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167541531 + ... + 167542160.

It is an arithmetic number, because the mean of its divisors is an integer number (8712175992).

Almost surely, 2^105551362665 is an apocalyptic number.

105551362665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105551362665 is a deficient number, since it is larger than the sum of its proper divisors (103540861143).

105551362665 is a wasteful number, since it uses less digits than its factorization.

105551362665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335083709 (or 335083706 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 105551362665 in words is "one hundred five billion, five hundred fifty-one million, three hundred sixty-two thousand, six hundred sixty-five".