105928368 has 80 divisors (see below), whose sum is σ = 336811776. Its totient is φ = 27936000.

The previous prime is 105928367. The next prime is 105928369. The reversal of 105928368 is 863829501.

It is an interprime number because it is at equal distance from previous prime (105928367) and next prime (105928369).

It is a super-2 number, since 2×105928368² = 22441638294286848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105928367) by changing a digit.

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, 7758 + ... + 16493.

Almost surely, 2^105928368 is an apocalyptic number.

It is an amenable number.

105928368 is an abundant number, since it is smaller than the sum of its proper divisors (230883408).

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

105928368 is a wasteful number, since it uses less digits than its factorization.

105928368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24282 (or 24276 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 105928368 is about 10292.1507956306. The cubic root of 105928368 is about 473.1557190287.

The spelling of 105928368 in words is "one hundred five million, nine hundred twenty-eight thousand, three hundred sixty-eight".