105505010550 has 72 divisors (see below), whose sum is σ = 287687575656. Its totient is φ = 27714741120.

The previous prime is 105505010447. The next prime is 105505010561. The reversal of 105505010550 is 55010505501.

105505010550 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 50 + 10 + 550 = 666.

It is a super-2 number, since 2×105505010550² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1719519 + ... + 1779818.

It is an arithmetic number, because the mean of its divisors is an integer number (3995660773).

Almost surely, 2^105505010550 is an apocalyptic number.

105505010550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505010550 is an abundant number, since it is smaller than the sum of its proper divisors (182182565106).

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

105505010550 is a wasteful number, since it uses less digits than its factorization.

105505010550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499422 (or 3499414 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 105505010550 in words is "one hundred five billion, five hundred five million, ten thousand, five hundred fifty".