105328368 has 30 divisors (see below), whose sum is σ = 294773544. Its totient is φ = 35109408.

The previous prime is 105328357. The next prime is 105328369. The reversal of 105328368 is 863823501.

It is a super-2 number, since 2×105328368² = 22188130211086848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105328369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365580 + ... + 365867.

Almost surely, 2^105328368 is an apocalyptic number.

105328368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105328368 is an abundant number, since it is smaller than the sum of its proper divisors (189445176).

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

105328368 is a wasteful number, since it uses less digits than its factorization.

105328368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731461 (or 731452 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105328368 is about 10262.9609762485. The cubic root of 105328368 is about 472.2606766521.

The spelling of 105328368 in words is "one hundred five million, three hundred twenty-eight thousand, three hundred sixty-eight".