105966252 has 48 divisors (see below), whose sum is σ = 313976320. Its totient is φ = 30275856.

The previous prime is 105966241. The next prime is 105966281. The reversal of 105966252 is 252669501.

105966252 is a `hidden beast` number, since 1 + 0 + 596 + 62 + 5 + 2 = 666.

It is a super-2 number, since 2×105966252² = 22457693125855008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 69328 + ... + 70839.

Almost surely, 2^105966252 is an apocalyptic number.

105966252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105966252 is an abundant number, since it is smaller than the sum of its proper divisors (208010068).

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

105966252 is a wasteful number, since it uses less digits than its factorization.

105966252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140187 (or 140179 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105966252 is about 10293.9910627511. The cubic root of 105966252 is about 473.2121184463.

The spelling of 105966252 in words is "one hundred five million, nine hundred sixty-six thousand, two hundred fifty-two".