114310505104105 has 24 divisors (see below), whose sum is σ = 145739148125400. Its totient is φ = 86055548528640.

The previous prime is 114310505104069. The next prime is 114310505104123. The reversal of 114310505104105 is 501401505013411.

It can be written as a sum of positive squares in 12 ways, for example, as 56810245801 + 114253694858304 = 238349^2 + 10688952^2 .

It is not a de Polignac number, because 114310505104105 - 2¹⁵ = 114310505071337 is a prime.

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, 2973471 + ... + 15409819.

It is an arithmetic number, because the mean of its divisors is an integer number (6072464505225).

Almost surely, 2^{114310505104105} is an apocalyptic number.

It is an amenable number.

114310505104105 is a deficient number, since it is larger than the sum of its proper divisors (31428643021295).

114310505104105 is a wasteful number, since it uses less digits than its factorization.

114310505104105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442749 (or 12442732 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 114310505104105 in words is "one hundred fourteen trillion, three hundred ten billion, five hundred five million, one hundred four thousand, one hundred five".