16105968 has 30 divisors (see below), whose sum is σ = 45074744. Its totient is φ = 5368608.

The previous prime is 16105963. The next prime is 16105993. The reversal of 16105968 is 86950161.

16105968 is a `hidden beast` number, since 1 + 61 + 0 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (16105963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55780 + ... + 56067.

Almost surely, 2^16105968 is an apocalyptic number.

16105968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16105968 is an abundant number, since it is smaller than the sum of its proper divisors (28968776).

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

16105968 is a wasteful number, since it uses less digits than its factorization.

16105968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111861 (or 111852 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 16105968 is about 4013.2241402643. The cubic root of 16105968 is about 252.5392835002.

The spelling of 16105968 in words is "sixteen million, one hundred five thousand, nine hundred sixty-eight".