14668100 has 18 divisors (see below), whose sum is σ = 31829994. Its totient is φ = 5867200.

The previous prime is 14668081. The next prime is 14668123. The reversal of 14668100 is 186641.

It can be written as a sum of positive squares in 3 ways, for example, as 1592644 + 13075456 = 1262^2 + 3616^2 .

It is a super-2 number, since 2×14668100² = 430306315220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14668100.

It is an unprimeable number.

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, 73241 + ... + 73440.

It is an arithmetic number, because the mean of its divisors is an integer number (1768333).

Almost surely, 2^14668100 is an apocalyptic number.

14668100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14668100 is an abundant number, since it is smaller than the sum of its proper divisors (17161894).

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

14668100 is a wasteful number, since it uses less digits than its factorization.

14668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146695 (or 146688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 14668100 is about 3829.8955599337. The cubic root of 14668100 is about 244.7886557247.

The spelling of 14668100 in words is "fourteen million, six hundred sixty-eight thousand, one hundred".