105144115564799 has 32 divisors (see below), whose sum is σ = 106322816151552. Its totient is φ = 103974747660000.

The previous prime is 105144115564769. The next prime is 105144115564823. The reversal of 105144115564799 is 997465511441501.

It is a cyclic number.

It is not a de Polignac number, because 105144115564799 - 2²⁴ = 105144098787583 is a prime.

It is a super-2 number, since 2×105144115564799² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144115564759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25955099324 + ... + 25955103374.

It is an arithmetic number, because the mean of its divisors is an integer number (3322588004736).

Almost surely, 2^{105144115564799} is an apocalyptic number.

105144115564799 is a deficient number, since it is larger than the sum of its proper divisors (1178700586753).

105144115564799 is a wasteful number, since it uses less digits than its factorization.

105144115564799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787.

The product of its (nonzero) digits is 27216000, while the sum is 62.

The spelling of 105144115564799 in words is "one hundred five trillion, one hundred forty-four billion, one hundred fifteen million, five hundred sixty-four thousand, seven hundred ninety-nine".