105107589942104 has 128 divisors (see below), whose sum is σ = 204984162432000. Its totient is φ = 50465950639104.

The previous prime is 105107589942101. The next prime is 105107589942109. The reversal of 105107589942104 is 401249985701501.

It is a super-2 number, since 2×105107589942104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105107589942104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105107589942101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79206924689 + ... + 79206926015.

It is an arithmetic number, because the mean of its divisors is an integer number (1601438769000).

Almost surely, 2^{105107589942104} is an apocalyptic number.

It is an amenable number.

105107589942104 is a deficient number, since it is larger than the sum of its proper divisors (99876572489896).

105107589942104 is a wasteful number, since it uses less digits than its factorization.

105107589942104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 105107589942104 in words is "one hundred five trillion, one hundred seven billion, five hundred eighty-nine million, nine hundred forty-two thousand, one hundred four".