105366887725 has 72 divisors (see below), whose sum is σ = 148451748480. Its totient is φ = 74088115200.

The previous prime is 105366887719. The next prime is 105366887737. The reversal of 105366887725 is 527788663501.

It is a happy number.

It is not a de Polignac number, because 105366887725 - 2¹¹ = 105366885677 is a prime.

It is a super-2 number, since 2×105366887725² (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 105366887725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11796061 + ... + 11804989.

It is an arithmetic number, because the mean of its divisors is an integer number (2061829840).

Almost surely, 2^105366887725 is an apocalyptic number.

It is an amenable number.

105366887725 is a deficient number, since it is larger than the sum of its proper divisors (43084860755).

105366887725 is a wasteful number, since it uses less digits than its factorization.

105366887725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 105366887725 in words is "one hundred five billion, three hundred sixty-six million, eight hundred eighty-seven thousand, seven hundred twenty-five".