105311530120 has 32 divisors (see below), whose sum is σ = 239251446720. Its totient is φ = 41715633600.

The previous prime is 105311530087. The next prime is 105311530153. The reversal of 105311530120 is 21035113501.

It is an interprime number because it is at equal distance from previous prime (105311530087) and next prime (105311530153).

It is a super-2 number, since 2×105311530120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105311530091 and 105311530100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12776406 + ... + 12784645.

It is an arithmetic number, because the mean of its divisors is an integer number (7476607710).

Almost surely, 2^105311530120 is an apocalyptic number.

105311530120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311530120 is an abundant number, since it is smaller than the sum of its proper divisors (133939916600).

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

105311530120 is a wasteful number, since it uses less digits than its factorization.

105311530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25561165 (or 25561161 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 105311530120 its reverse (21035113501), we get a palindrome (126346643621).

The spelling of 105311530120 in words is "one hundred five billion, three hundred eleven million, five hundred thirty thousand, one hundred twenty".