105000431320000 has 140 divisors (see below), whose sum is σ = 275682648938400. Its totient is φ = 39529573888000.

The previous prime is 105000431319853. The next prime is 105000431320009. The reversal of 105000431320000 is 23134000501.

It is a super-2 number, since 2×105000431320000² (a number of 29 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 105000431320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000431320009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76526200 + ... + 77886199.

Almost surely, 2^{105000431320000} is an apocalyptic number.

105000431320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000431320000 is an abundant number, since it is smaller than the sum of its proper divisors (170682217618400).

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

105000431320000 is an equidigital number, since it uses as much as digits as its factorization.

105000431320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154412448 (or 154412423 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 105000431320000 its reverse (23134000501), we get a palindrome (105023565320501).

The spelling of 105000431320000 in words is "one hundred five trillion, four hundred thirty-one million, three hundred twenty thousand".