105100436232 has 96 divisors (see below), whose sum is σ = 324025116480. Its totient is φ = 30463889280.

The previous prime is 105100436197. The next prime is 105100436237. The reversal of 105100436232 is 232634001501.

105100436232 is a `hidden beast` number, since 105 + 100 + 436 + 23 + 2 = 666.

It is a super-2 number, since 2×105100436232² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105100436196 and 105100436205.

It is not an unprimeable number, because it can be changed into a prime (105100436237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2866623 + ... + 2903054.

It is an arithmetic number, because the mean of its divisors is an integer number (3375261630).

Almost surely, 2^105100436232 is an apocalyptic number.

105100436232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105100436232 is an abundant number, since it is smaller than the sum of its proper divisors (218924680248).

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

105100436232 is a wasteful number, since it uses less digits than its factorization.

105100436232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769723 (or 5769716 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105100436232 its reverse (232634001501), we get a palindrome (337734437733).

The spelling of 105100436232 in words is "one hundred five billion, one hundred million, four hundred thirty-six thousand, two hundred thirty-two".