105816252 has 24 divisors (see below), whose sum is σ = 248684800. Its totient is φ = 35017776.

The previous prime is 105816241. The next prime is 105816253. The reversal of 105816252 is 252618501.

It is a super-2 number, since 2×105816252² = 22394158374655008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105816253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30052 + ... + 33387.

Almost surely, 2^105816252 is an apocalyptic number.

105816252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105816252 is an abundant number, since it is smaller than the sum of its proper divisors (142868548).

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

105816252 is a wasteful number, since it uses less digits than its factorization.

105816252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63585 (or 63583 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105816252 is about 10286.7026787013. The cubic root of 105816252 is about 472.9887286549.

The spelling of 105816252 in words is "one hundred five million, eight hundred sixteen thousand, two hundred fifty-two".