105013775500 has 48 divisors (see below), whose sum is σ = 233237440800. Its totient is φ = 41293540800.

The previous prime is 105013775491. The next prime is 105013775519. The reversal of 105013775500 is 5577310501.

It is a super-2 number, since 2×105013775500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750395 + ... + 1809394.

It is an arithmetic number, because the mean of its divisors is an integer number (4859113350).

Almost surely, 2^105013775500 is an apocalyptic number.

105013775500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105013775500 is an abundant number, since it is smaller than the sum of its proper divisors (128223665300).

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

105013775500 is a wasteful number, since it uses less digits than its factorization.

105013775500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559867 (or 3559855 counting only the distinct ones).

The product of its (nonzero) digits is 18375, while the sum is 34.

The spelling of 105013775500 in words is "one hundred five billion, thirteen million, seven hundred seventy-five thousand, five hundred".