105013351111050 has 72 divisors (see below), whose sum is σ = 282165905383596. Its totient is φ = 28000579115520.

The previous prime is 105013351111043. The next prime is 105013351111061. The reversal of 105013351111050 is 50111153310501.

105013351111050 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 33 + 511 + 110 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2115356049 + 105011235755001 = 45993^2 + 10247499^2 .

It is a super-2 number, since 2×105013351111050² (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 35 ways as a sum of consecutive naturals, for example, 8188239 + ... + 16645538.

Almost surely, 2^{105013351111050} is an apocalyptic number.

105013351111050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105013351111050 is an abundant number, since it is smaller than the sum of its proper divisors (177152554272546).

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

105013351111050 is a wasteful number, since it uses less digits than its factorization.

105013351111050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843192 (or 24843184 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The spelling of 105013351111050 in words is "one hundred five trillion, thirteen billion, three hundred fifty-one million, one hundred eleven thousand, fifty".