105535166544 has 80 divisors (see below), whose sum is σ = 304617556800. Its totient is φ = 34981835904.

The previous prime is 105535166449. The next prime is 105535166579. The reversal of 105535166544 is 445661535501.

105535166544 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 51 + 6 + 6 + 544 = 666.

It is a super-2 number, since 2×105535166544² (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 105535166544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605059 + ... + 759714.

It is an arithmetic number, because the mean of its divisors is an integer number (3807719460).

Almost surely, 2^105535166544 is an apocalyptic number.

It is an amenable number.

105535166544 is an abundant number, since it is smaller than the sum of its proper divisors (199082390256).

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

105535166544 is a wasteful number, since it uses less digits than its factorization.

105535166544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364969 (or 1364957 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 105535166544 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, five hundred forty-four".