105404344506 has 24 divisors (see below), whose sum is σ = 229400196480. Its totient is φ = 34977225096.

The previous prime is 105404344447. The next prime is 105404344523. The reversal of 105404344506 is 605443404501.

105404344506 is a `hidden beast` number, since 105 + 4 + 0 + 4 + 3 + 44 + 506 = 666.

It is a super-2 number, since 2×105404344506² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13125576 + ... + 13133603.

It is an arithmetic number, because the mean of its divisors is an integer number (9558341520).

Almost surely, 2^105404344506 is an apocalyptic number.

105404344506 is an abundant number, since it is smaller than the sum of its proper divisors (123995851974).

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

105404344506 is a wasteful number, since it uses less digits than its factorization.

105404344506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26259410 (or 26259407 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 105404344506 in words is "one hundred five billion, four hundred four million, three hundred forty-four thousand, five hundred six".