105505190 has 32 divisors (see below), whose sum is σ = 224527680. Its totient is φ = 34925184.

The previous prime is 105505189. The next prime is 105505229. The reversal of 105505190 is 91505501.

It is a super-2 number, since 2×105505190² = 22262690233872200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23957 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (7016490).

Almost surely, 2^105505190 is an apocalyptic number.

105505190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505190 is an abundant number, since it is smaller than the sum of its proper divisors (119022490).

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

105505190 is a wasteful number, since it uses less digits than its factorization.

105505190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52016.

The product of its (nonzero) digits is 1125, while the sum is 26.

The square root of 105505190 is about 10271.5719342270. The cubic root of 105505190 is about 472.5248011020.

The spelling of 105505190 in words is "one hundred five million, five hundred five thousand, one hundred ninety".