105111051111100 has 72 divisors (see below), whose sum is σ = 236324030544000. Its totient is φ = 40536891436800.

The previous prime is 105111051111097. The next prime is 105111051111127. The reversal of 105111051111100 is 1111150111501.

It is a super-2 number, since 2×105111051111100² (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, 62189875 + ... + 63857674.

It is an arithmetic number, because the mean of its divisors is an integer number (3282278202000).

Almost surely, 2^{105111051111100} is an apocalyptic number.

105111051111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105111051111100 is an abundant number, since it is smaller than the sum of its proper divisors (131212979432900).

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

105111051111100 is a wasteful number, since it uses less digits than its factorization.

105111051111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126047863 (or 126047856 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 19.

The spelling of 105111051111100 in words is "one hundred five trillion, one hundred eleven billion, fifty-one million, one hundred eleven thousand, one hundred".