105312314205440 has 72 divisors (see below), whose sum is σ = 254704989372288. Its totient is φ = 41715945768960.

The previous prime is 105312314205431. The next prime is 105312314205587. The reversal of 105312314205440 is 44502413213501.

It is a super-2 number, since 2×105312314205440² (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 105312314205440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399262556 + ... + 399526235.

Almost surely, 2^{105312314205440} is an apocalyptic number.

105312314205440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105312314205440 is an abundant number, since it is smaller than the sum of its proper divisors (149392675166848).

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

105312314205440 is an equidigital number, since it uses as much as digits as its factorization.

105312314205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798788915 (or 798788901 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 105312314205440 its reverse (44502413213501), we get a palindrome (149814727418941).

The spelling of 105312314205440 in words is "one hundred five trillion, three hundred twelve billion, three hundred fourteen million, two hundred five thousand, four hundred forty".