16105872 has 20 divisors (see below), whose sum is σ = 41606960. Its totient is φ = 5368608.

The previous prime is 16105871. The next prime is 16105889. The reversal of 16105872 is 27850161.

It is a super-2 number, since 2×16105872² = 518798225760768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (16105871) 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 3 ways as a sum of consecutive naturals, for example, 167722 + ... + 167817.

It is an arithmetic number, because the mean of its divisors is an integer number (2080348).

Almost surely, 2^16105872 is an apocalyptic number.

16105872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16105872 is an abundant number, since it is smaller than the sum of its proper divisors (25501088).

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

16105872 is a wasteful number, since it uses less digits than its factorization.

16105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335550 (or 335544 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 16105872 is about 4013.2121797882. The cubic root of 16105872 is about 252.5387817437.

The spelling of 16105872 in words is "sixteen million, one hundred five thousand, eight hundred seventy-two".