105667968744 has 192 divisors, whose sum is σ = 320440760640. Its totient is φ = 32429030400.

The previous prime is 105667968737. The next prime is 105667968767. The reversal of 105667968744 is 447869766501.

It is a happy number.

105667968744 is a `hidden beast` number, since 1 + 0 + 566 + 7 + 9 + 68 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×105667968744² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10128859 + ... + 10139285.

It is an arithmetic number, because the mean of its divisors is an integer number (1668962295).

Almost surely, 2^105667968744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105667968744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220380320).

105667968744 is an abundant number, since it is smaller than the sum of its proper divisors (214772791896).

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

105667968744 is a wasteful number, since it uses less digits than its factorization.

105667968744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 105667968744 in words is "one hundred five billion, six hundred sixty-seven million, nine hundred sixty-eight thousand, seven hundred forty-four".