105287252 has 24 divisors (see below), whose sum is σ = 210799680. Its totient is φ = 45074880.

The previous prime is 105287233. The next prime is 105287257. The reversal of 105287252 is 252782501.

It is a happy number.

It is a super-2 number, since 2×105287252² = 22170810867423008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105287257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40199 + ... + 42737.

It is an arithmetic number, because the mean of its divisors is an integer number (8783320).

Almost surely, 2^105287252 is an apocalyptic number.

It is an amenable number.

105287252 is an abundant number, since it is smaller than the sum of its proper divisors (105512428).

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

105287252 is a wasteful number, since it uses less digits than its factorization.

105287252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 105287252 is about 10260.9576551119. The cubic root of 105287252 is about 472.1992180679.

The spelling of 105287252 in words is "one hundred five million, two hundred eighty-seven thousand, two hundred fifty-two".