105038368 has 24 divisors (see below), whose sum is σ = 210699468. Its totient is φ = 51527424.

The previous prime is 105038363. The next prime is 105038371. The reversal of 105038368 is 863830501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104284944 + 753424 = 10212^2 + 868^2 .

It is a super-2 number, since 2×105038368² = 22066117504206848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105038363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29271 + ... + 32662.

Almost surely, 2^105038368 is an apocalyptic number.

It is an amenable number.

105038368 is an abundant number, since it is smaller than the sum of its proper divisors (105661100).

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

105038368 is an equidigital number, since it uses as much as digits as its factorization.

105038368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61996 (or 61988 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 105038368 is about 10248.8227616639. The cubic root of 105038368 is about 471.8268540443.

Adding to 105038368 its reverse (863830501), we get a palindrome (968868869).

The spelling of 105038368 in words is "one hundred five million, thirty-eight thousand, three hundred sixty-eight".