105251312 has 20 divisors (see below), whose sum is σ = 212791440. Its totient is φ = 50337408.

The previous prime is 105251309. The next prime is 105251383. The reversal of 105251312 is 213152501.

It is a happy number.

It is a super-2 number, since 2×105251312² = 22155677355442688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142637 + ... + 143372.

It is an arithmetic number, because the mean of its divisors is an integer number (10639572).

Almost surely, 2^105251312 is an apocalyptic number.

It is an amenable number.

105251312 is an abundant number, since it is smaller than the sum of its proper divisors (107540128).

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

105251312 is a wasteful number, since it uses less digits than its factorization.

105251312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286040 (or 286034 counting only the distinct ones).

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

The square root of 105251312 is about 10259.2062071098. The cubic root of 105251312 is about 472.1454832584.

The spelling of 105251312 in words is "one hundred five million, two hundred fifty-one thousand, three hundred twelve".