105232433130 has 72 divisors (see below), whose sum is σ = 300738670596. Its totient is φ = 25510890240.

The previous prime is 105232433123. The next prime is 105232433167. The reversal of 105232433130 is 31334232501.

105232433130 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 324 + 331 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104097214881 + 1135218249 = 322641^2 + 33693^2 .

It is a super-2 number, since 2×105232433130² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105232433094 and 105232433103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4820719 + ... + 4842498.

Almost surely, 2^105232433130 is an apocalyptic number.

105232433130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105232433130 is an abundant number, since it is smaller than the sum of its proper divisors (195506237466).

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

105232433130 is a wasteful number, since it uses less digits than its factorization.

105232433130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663252 (or 9663238 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 105232433130 its reverse (31334232501), we get a palindrome (136566665631).

The spelling of 105232433130 in words is "one hundred five billion, two hundred thirty-two million, four hundred thirty-three thousand, one hundred thirty".