105542331051100 has 72 divisors (see below), whose sum is σ = 236929613659200. Its totient is φ = 40760268192000.

The previous prime is 105542331051011. The next prime is 105542331051121. The reversal of 105542331051100 is 1150133245501.

It is a super-2 number, since 2×105542331051100² (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 23 ways as a sum of consecutive naturals, for example, 137951421 + ... + 138714379.

It is an arithmetic number, because the mean of its divisors is an integer number (3290689078600).

Almost surely, 2^{105542331051100} is an apocalyptic number.

105542331051100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105542331051100 is an abundant number, since it is smaller than the sum of its proper divisors (131387282608100).

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

105542331051100 is a wasteful number, since it uses less digits than its factorization.

105542331051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810703 (or 810696 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 105542331051100 its reverse (1150133245501), we get a palindrome (106692464296601).

The spelling of 105542331051100 in words is "one hundred five trillion, five hundred forty-two billion, three hundred thirty-one million, fifty-one thousand, one hundred".