14688100 has 36 divisors (see below), whose sum is σ = 36428224. Its totient is φ = 5035680.

The previous prime is 14688073. The next prime is 14688131. The reversal of 14688100 is 188641.

It is a super-2 number, since 2×14688100² = 431480563220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9792 + ... + 11191.

Almost surely, 2^14688100 is an apocalyptic number.

14688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14688100 is an abundant number, since it is smaller than the sum of its proper divisors (21740124).

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

14688100 is a wasteful number, since it uses less digits than its factorization.

14688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21004 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 14688100 is about 3832.5057077583. The cubic root of 14688100 is about 244.8998618947.

The spelling of 14688100 in words is "fourteen million, six hundred eighty-eight thousand, one hundred".