105565355550 has 72 divisors (see below), whose sum is σ = 292767958080. Its totient is φ = 27242668800.

The previous prime is 105565355543. The next prime is 105565355563. The reversal of 105565355550 is 55553565501.

105565355550 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 65 + 35 + 5 + 550 = 666.

It is a super-2 number, since 2×105565355550² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 105565355496 and 105565355505.

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, 3769755 + ... + 3797654.

It is an arithmetic number, because the mean of its divisors is an integer number (4066221640).

Almost surely, 2^105565355550 is an apocalyptic number.

105565355550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105565355550 is an abundant number, since it is smaller than the sum of its proper divisors (187202602530).

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

105565355550 is a wasteful number, since it uses less digits than its factorization.

105565355550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567458 (or 7567450 counting only the distinct ones).

The product of its (nonzero) digits is 1406250, while the sum is 45.

The spelling of 105565355550 in words is "one hundred five billion, five hundred sixty-five million, three hundred fifty-five thousand, five hundred fifty".