105978684510444 has 48 divisors (see below), whose sum is σ = 249904064019456. Its totient is φ = 34952357880000.

The previous prime is 105978684510409. The next prime is 105978684510521. The reversal of 105978684510444 is 444015486879501.

It is a super-2 number, since 2×105978684510444² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28372732 + ... + 31889955.

It is an arithmetic number, because the mean of its divisors is an integer number (5206334667072).

Almost surely, 2^{105978684510444} is an apocalyptic number.

It is an amenable number.

105978684510444 is an abundant number, since it is smaller than the sum of its proper divisors (143925379509012).

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

105978684510444 is a wasteful number, since it uses less digits than its factorization.

105978684510444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60264246 (or 60264244 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 105978684510444 in words is "one hundred five trillion, nine hundred seventy-eight billion, six hundred eighty-four million, five hundred ten thousand, four hundred forty-four".