105018368 has 176 divisors, whose sum is σ = 275116800. Its totient is φ = 39739392.

The previous prime is 105018349. The next prime is 105018373. The reversal of 105018368 is 863810501.

It is a super-2 number, since 2×105018368² = 22057715234766848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4566005 + ... + 4566027.

Almost surely, 2^105018368 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 105018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137558400).

105018368 is an abundant number, since it is smaller than the sum of its proper divisors (170098432).

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

105018368 is an equidigital number, since it uses as much as digits as its factorization.

105018368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 105018368 is about 10247.8469933933. The cubic root of 105018368 is about 471.7969058255.

Adding to 105018368 its reverse (863810501), we get a palindrome (968828869).

The spelling of 105018368 in words is "one hundred five million, eighteen thousand, three hundred sixty-eight".