105510371120 has 480 divisors, whose sum is σ = 327126491136. Its totient is φ = 31235635200.

The previous prime is 105510371101. The next prime is 105510371177. The reversal of 105510371120 is 21173015501.

It is a super-2 number, since 2×105510371120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105510371120.

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 95 ways as a sum of consecutive naturals, for example, 189425882 + ... + 189426438.

Almost surely, 2^105510371120 is an apocalyptic number.

105510371120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105510371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163563245568).

105510371120 is an abundant number, since it is smaller than the sum of its proper divisors (221616120016).

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

105510371120 is a wasteful number, since it uses less digits than its factorization.

105510371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 105510371120 its reverse (21173015501), we get a palindrome (126683386621).

The spelling of 105510371120 in words is "one hundred five billion, five hundred ten million, three hundred seventy-one thousand, one hundred twenty".