105814887024364 has 96 divisors (see below), whose sum is σ = 216864071424000. Its totient is φ = 44230688409600.

The previous prime is 105814887024331. The next prime is 105814887024403. The reversal of 105814887024364 is 463420788418501.

It is a happy number.

It is a super-2 number, since 2×105814887024364² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2856060912 + ... + 2856097960.

It is an arithmetic number, because the mean of its divisors is an integer number (2259000744000).

Almost surely, 2^{105814887024364} is an apocalyptic number.

105814887024364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105814887024364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108432035712000).

105814887024364 is an abundant number, since it is smaller than the sum of its proper divisors (111049184399636).

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

105814887024364 is a wasteful number, since it uses less digits than its factorization.

105814887024364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40463 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 61.

The spelling of 105814887024364 in words is "one hundred five trillion, eight hundred fourteen billion, eight hundred eighty-seven million, twenty-four thousand, three hundred sixty-four".