105945252 has 36 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 30269904.

The previous prime is 105945239. The next prime is 105945253. The reversal of 105945252 is 252549501.

It is a super-2 number, since 2×105945252² = 22448792842687008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105945253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89502 + ... + 90677.

It is an arithmetic number, because the mean of its divisors is an integer number (7987980).

Almost surely, 2^105945252 is an apocalyptic number.

105945252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105945252 is an abundant number, since it is smaller than the sum of its proper divisors (181622028).

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

105945252 is a wasteful number, since it uses less digits than its factorization.

105945252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180200 (or 180191 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 105945252 is about 10292.9709996677. The cubic root of 105945252 is about 473.1808565718.

The spelling of 105945252 in words is "one hundred five million, nine hundred forty-five thousand, two hundred fifty-two".