105044368 has 80 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 42624000.

The previous prime is 105044353. The next prime is 105044383. The reversal of 105044368 is 863440501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105044353) and next prime (105044383).

It is a super-2 number, since 2×105044368² = 22068638497038848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70188 + ... + 71668.

Almost surely, 2^105044368 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 105044368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

105044368 is an abundant number, since it is smaller than the sum of its proper divisors (141939824).

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

105044368 is a wasteful number, since it uses less digits than its factorization.

105044368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 105044368 is about 10249.1154740299. The cubic root of 105044368 is about 471.8358377686.

Adding to 105044368 its reverse (863440501), we get a palindrome (968484869).

The spelling of 105044368 in words is "one hundred five million, forty-four thousand, three hundred sixty-eight".