105946794625 has 128 divisors (see below), whose sum is σ = 163034726400. Its totient is φ = 67171104000.

The previous prime is 105946794623. The next prime is 105946794641. The reversal of 105946794625 is 526497649501.

It is not a de Polignac number, because 105946794625 - 2¹ = 105946794623 is a prime.

It is a super-2 number, since 2×105946794625² (a number of 23 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 105946794625.

It is not an unprimeable number, because it can be changed into a prime (105946794623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75729676 + ... + 75731074.

It is an arithmetic number, because the mean of its divisors is an integer number (1273708800).

Almost surely, 2^105946794625 is an apocalyptic number.

It is an amenable number.

105946794625 is a deficient number, since it is larger than the sum of its proper divisors (57087931775).

105946794625 is a wasteful number, since it uses less digits than its factorization.

105946794625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 105946794625 in words is "one hundred five billion, nine hundred forty-six million, seven hundred ninety-four thousand, six hundred twenty-five".