105855415344 has 120 divisors (see below), whose sum is σ = 350244204960. Its totient is φ = 29201485824.

The previous prime is 105855415343. The next prime is 105855415403. The reversal of 105855415344 is 443514558501.

105855415344 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 554 + 1 + 53 + 44 = 666.

It is a super-2 number, since 2×105855415344² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105855415344.

It is not an unprimeable number, because it can be changed into a prime (105855415343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781377 + ... + 1839840.

It is an arithmetic number, because the mean of its divisors is an integer number (2918701708).

Almost surely, 2^105855415344 is an apocalyptic number.

105855415344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105855415344 is an abundant number, since it is smaller than the sum of its proper divisors (244388789616).

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

105855415344 is a wasteful number, since it uses less digits than its factorization.

105855415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621267 (or 3621258 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 105855415344 in words is "one hundred five billion, eight hundred fifty-five million, four hundred fifteen thousand, three hundred forty-four".