105510506130 has 96 divisors (see below), whose sum is σ = 287443728000. Its totient is φ = 26801026560.

The previous prime is 105510506093. The next prime is 105510506147. The reversal of 105510506130 is 31605015501.

105510506130 is a `hidden beast` number, since 1 + 0 + 551 + 0 + 50 + 61 + 3 + 0 = 666.

It is a super-2 number, since 2×105510506130² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105510506094 and 105510506103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393121 + ... + 604619.

It is an arithmetic number, because the mean of its divisors is an integer number (2994205500).

Almost surely, 2^105510506130 is an apocalyptic number.

105510506130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105510506130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143721864000).

105510506130 is an abundant number, since it is smaller than the sum of its proper divisors (181933221870).

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

105510506130 is a wasteful number, since it uses less digits than its factorization.

105510506130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211776 (or 211773 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 105510506130 in words is "one hundred five billion, five hundred ten million, five hundred six thousand, one hundred thirty".