105188050 has 24 divisors (see below), whose sum is σ = 213437232. Its totient is φ = 38250000.

The previous prime is 105188023. The next prime is 105188071. The reversal of 105188050 is 50881501.

It is a super-2 number, since 2×105188050² = 22129051725605000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95076 + ... + 96175.

It is an arithmetic number, because the mean of its divisors is an integer number (8893218).

Almost surely, 2^105188050 is an apocalyptic number.

105188050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105188050 is an abundant number, since it is smaller than the sum of its proper divisors (108249182).

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

105188050 is a wasteful number, since it uses less digits than its factorization.

105188050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191274 (or 191269 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 105188050 is about 10256.1225616702. The cubic root of 105188050 is about 472.0508689070.

The spelling of 105188050 in words is "one hundred five million, one hundred eighty-eight thousand, fifty".