105585550 has 24 divisors (see below), whose sum is σ = 224445456. Its totient is φ = 36200640.

The previous prime is 105585541. The next prime is 105585551. The reversal of 105585550 is 55585501.

It is a happy number.

It is a super-2 number, since 2×105585550² = 22296616737605000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105585551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150487 + ... + 151186.

It is an arithmetic number, because the mean of its divisors is an integer number (9351894).

Almost surely, 2^105585550 is an apocalyptic number.

105585550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105585550 is an abundant number, since it is smaller than the sum of its proper divisors (118859906).

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

105585550 is a wasteful number, since it uses less digits than its factorization.

105585550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301692 (or 301687 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 34.

The square root of 105585550 is about 10275.4829570196. The cubic root of 105585550 is about 472.6447397716.

The spelling of 105585550 in words is "one hundred five million, five hundred eighty-five thousand, five hundred fifty".