105110556005820 has 96 divisors (see below), whose sum is σ = 294893259425856. Its totient is φ = 27973935360000.

The previous prime is 105110556005773. The next prime is 105110556005843. The reversal of 105110556005820 is 28500655011501.

It is a super-2 number, since 2×105110556005820² (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 31 ways as a sum of consecutive naturals, for example, 75056262 + ... + 76443858.

It is an arithmetic number, because the mean of its divisors is an integer number (3071804785686).

Almost surely, 2^{105110556005820} is an apocalyptic number.

105110556005820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105110556005820 is an abundant number, since it is smaller than the sum of its proper divisors (189782703420036).

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

105110556005820 is a wasteful number, since it uses less digits than its factorization.

105110556005820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390111 (or 1390109 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 39.

The spelling of 105110556005820 in words is "one hundred five trillion, one hundred ten billion, five hundred fifty-six million, five thousand, eight hundred twenty".