105114502461564 has 144 divisors (see below), whose sum is σ = 275684752324800. Its totient is φ = 33729513495552.

The previous prime is 105114502461541. The next prime is 105114502461571. The reversal of 105114502461564 is 465164205411501.

It is a happy number.

105114502461564 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 4 + 5 + 0 + 24 + 61 + 564 = 666.

It is a super-2 number, since 2×105114502461564² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313592992 + ... + 2313638424.

It is an arithmetic number, because the mean of its divisors is an integer number (1914477446700).

Almost surely, 2^{105114502461564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105114502461564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137842376162400).

105114502461564 is an abundant number, since it is smaller than the sum of its proper divisors (170570249863236).

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

105114502461564 is a wasteful number, since it uses less digits than its factorization.

105114502461564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52004 (or 51999 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105114502461564 in words is "one hundred five trillion, one hundred fourteen billion, five hundred two million, four hundred sixty-one thousand, five hundred sixty-four".