105188952 has 64 divisors (see below), whose sum is σ = 296156160. Its totient is φ = 30844800.

The previous prime is 105188947. The next prime is 105188969. The reversal of 105188952 is 259881501.

It is a super-2 number, since 2×105188952² = 22129431245716608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105188952.

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, 1758 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (4627440).

Almost surely, 2^105188952 is an apocalyptic number.

105188952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105188952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148078080).

105188952 is an abundant number, since it is smaller than the sum of its proper divisors (190967208).

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

105188952 is a wasteful number, since it uses less digits than its factorization.

105188952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904 (or 12900 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 105188952 is about 10256.1665353094. The cubic root of 105188952 is about 472.0522182006.

The spelling of 105188952 in words is "one hundred five million, one hundred eighty-eight thousand, nine hundred fifty-two".