105304442544 has 90 divisors (see below), whose sum is σ = 342821501100. Its totient is φ = 30086981568.

The previous prime is 105304442521. The next prime is 105304442549. The reversal of 105304442544 is 445244403501.

105304442544 is a `hidden beast` number, since 1 + 0 + 5 + 30 + 44 + 42 + 544 = 666.

It is a super-2 number, since 2×105304442544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105304442499 and 105304442508.

It is not an unprimeable number, because it can be changed into a prime (105304442549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7454994 + ... + 7469105.

It is an arithmetic number, because the mean of its divisors is an integer number (3809127790).

Almost surely, 2^105304442544 is an apocalyptic number.

105304442544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105304442544 is an abundant number, since it is smaller than the sum of its proper divisors (237517058556).

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

105304442544 is a wasteful number, since it uses less digits than its factorization.

105304442544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924127 (or 14924111 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 105304442544 in words is "one hundred five billion, three hundred four million, four hundred forty-two thousand, five hundred forty-four".