105386046507144 has 64 divisors (see below), whose sum is σ = 315257404089600. Its totient is φ = 32426475847488.

The previous prime is 105386046507139. The next prime is 105386046507233. The reversal of 105386046507144 is 441705640683501.

105386046507144 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 86 + 0 + 46 + 507 + 14 + 4 = 666.

It is a super-2 number, since 2×105386046507144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18765318864 + ... + 18765324479.

It is an arithmetic number, because the mean of its divisors is an integer number (4925896938900).

Almost surely, 2^{105386046507144} is an apocalyptic number.

It is an amenable number.

105386046507144 is an abundant number, since it is smaller than the sum of its proper divisors (209871357582456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105386046507144 is a wasteful number, since it uses less digits than its factorization.

105386046507144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37530643371 (or 37530643361 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 105386046507144 in words is "one hundred five trillion, three hundred eighty-six billion, forty-six million, five hundred seven thousand, one hundred forty-four".