105352112 has 20 divisors (see below), whose sum is σ = 214863480. Its totient is φ = 49903488.

The previous prime is 105352087. The next prime is 105352123. The reversal of 105352112 is 211253501.

It is a happy number.

It is a super-2 number, since 2×105352112² = 22198135005721088, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 172973 + ... + 173580.

It is an arithmetic number, because the mean of its divisors is an integer number (10743174).

Almost surely, 2^105352112 is an apocalyptic number.

It is an amenable number.

105352112 is an abundant number, since it is smaller than the sum of its proper divisors (109511368).

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

105352112 is a wasteful number, since it uses less digits than its factorization.

105352112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346580 (or 346574 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105352112 is about 10264.1176922325. The cubic root of 105352112 is about 472.2961609673.

The spelling of 105352112 in words is "one hundred five million, three hundred fifty-two thousand, one hundred twelve".