105516317137 has 8 divisors (see below), whose sum is σ = 131552811072. Its totient is φ = 82220506800.

The previous prime is 105516317129. The next prime is 105516317143. The reversal of 105516317137 is 731713615501.

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 105516317137 - 2³ = 105516317129 is a prime.

It is a super-2 number, since 2×105516317137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105516317137.

It is not an unprimeable number, because it can be changed into a prime (105516317197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685170814 + ... + 685170967.

It is an arithmetic number, because the mean of its divisors is an integer number (16444101384).

Almost surely, 2^105516317137 is an apocalyptic number.

It is an amenable number.

105516317137 is a deficient number, since it is larger than the sum of its proper divisors (26036493935).

105516317137 is a wasteful number, since it uses less digits than its factorization.

105516317137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370341799.

The product of its (nonzero) digits is 66150, while the sum is 40.

The spelling of 105516317137 in words is "one hundred five billion, five hundred sixteen million, three hundred seventeen thousand, one hundred thirty-seven".