105317760145 has 16 divisors (see below), whose sum is σ = 137016406800. Its totient is φ = 77251140864.

The previous prime is 105317760101. The next prime is 105317760167. The reversal of 105317760145 is 541067713501.

It can be written as a sum of positive squares in 8 ways, for example, as 44523954049 + 60793806096 = 211007^2 + 246564^2 .

It is a cyclic number.

It is not a de Polignac number, because 105317760145 - 2²⁵ = 105284205713 is a prime.

It is a super-2 number, since 2×105317760145² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105317760098 and 105317760107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5427474 + ... + 5446843.

It is an arithmetic number, because the mean of its divisors is an integer number (8563525425).

Almost surely, 2^105317760145 is an apocalyptic number.

It is an amenable number.

105317760145 is a deficient number, since it is larger than the sum of its proper divisors (31698646655).

105317760145 is a wasteful number, since it uses less digits than its factorization.

105317760145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10874484.

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 105317760145 in words is "one hundred five billion, three hundred seventeen million, seven hundred sixty thousand, one hundred forty-five".