105503887314 has 32 divisors (see below), whose sum is σ = 267946381440. Its totient is φ = 30143967696.

The previous prime is 105503887309. The next prime is 105503887327. The reversal of 105503887314 is 413788305501.

It is a happy number.

105503887314 is a `hidden beast` number, since 1 + 0 + 550 + 3 + 8 + 87 + 3 + 14 = 666.

It is a super-2 number, since 2×105503887314² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105503887314.

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, 139555029 + ... + 139555784.

It is an arithmetic number, because the mean of its divisors is an integer number (8373324420).

Almost surely, 2^105503887314 is an apocalyptic number.

105503887314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105503887314 is an abundant number, since it is smaller than the sum of its proper divisors (162442494126).

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

105503887314 is a wasteful number, since it uses less digits than its factorization.

105503887314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279110831 (or 279110825 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 105503887314 in words is "one hundred five billion, five hundred three million, eight hundred eighty-seven thousand, three hundred fourteen".