105188052 has 48 divisors (see below), whose sum is σ = 249923520. Its totient is φ = 34428672.

The previous prime is 105188023. The next prime is 105188071. The reversal of 105188052 is 250881501.

It is a super-2 number, since 2×105188052² = 22129052567109408, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 178903 + ... + 179489.

It is an arithmetic number, because the mean of its divisors is an integer number (5206740).

Almost surely, 2^105188052 is an apocalyptic number.

105188052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105188052 is an abundant number, since it is smaller than the sum of its proper divisors (144735468).

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

105188052 is a wasteful number, since it uses less digits than its factorization.

105188052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 105188052 is about 10256.1226591729. The cubic root of 105188052 is about 472.0508718988.

The spelling of 105188052 in words is "one hundred five million, one hundred eighty-eight thousand, fifty-two".