105111102120 has 64 divisors (see below), whose sum is σ = 319324896000. Its totient is φ = 27674819328.

The previous prime is 105111102067. The next prime is 105111102139. The reversal of 105111102120 is 21201111501.

It is a super-2 number, since 2×105111102120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105111102120.

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, 5534355 + ... + 5553314.

It is an arithmetic number, because the mean of its divisors is an integer number (4989451500).

Almost surely, 2^105111102120 is an apocalyptic number.

105111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105111102120 is an abundant number, since it is smaller than the sum of its proper divisors (214213793880).

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

105111102120 is a wasteful number, since it uses less digits than its factorization.

105111102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087762 (or 11087758 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 105111102120 its reverse (21201111501), we get a palindrome (126312213621).

The spelling of 105111102120 in words is "one hundred five billion, one hundred eleven million, one hundred two thousand, one hundred twenty".