105605457772 has 24 divisors (see below), whose sum is σ = 195729867200. Its totient is φ = 49716738576.

The previous prime is 105605457679. The next prime is 105605457781. The reversal of 105605457772 is 277754506501.

105605457772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105605457772² (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 7 ways as a sum of consecutive naturals, for example, 4250022 + ... + 4274797.

Almost surely, 2^105605457772 is an apocalyptic number.

It is an amenable number.

105605457772 is a deficient number, since it is larger than the sum of its proper divisors (90124409428).

105605457772 is a wasteful number, since it uses less digits than its factorization.

105605457772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525005 (or 8525003 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 49.

The spelling of 105605457772 in words is "one hundred five billion, six hundred five million, four hundred fifty-seven thousand, seven hundred seventy-two".