105052368 has 80 divisors (see below), whose sum is σ = 288235520. Its totient is φ = 32876928.

The previous prime is 105052331. The next prime is 105052393. The reversal of 105052368 is 863250501.

It is a super-2 number, since 2×105052368² = 22072000044814848, 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 15 ways as a sum of consecutive naturals, for example, 115371 + ... + 116277.

It is an arithmetic number, because the mean of its divisors is an integer number (3602944).

Almost surely, 2^105052368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105052368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144117760).

105052368 is an abundant number, since it is smaller than the sum of its proper divisors (183183152).

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

105052368 is a wasteful number, since it uses less digits than its factorization.

105052368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105052368 is about 10249.5057441810. The cubic root of 105052368 is about 471.8478155355.

The spelling of 105052368 in words is "one hundred five million, fifty-two thousand, three hundred sixty-eight".