14164100 has 36 divisors (see below), whose sum is σ = 30987600. Its totient is φ = 5619360.

The previous prime is 14164099. The next prime is 14164109. The reversal of 14164100 is 146141.

It is not an unprimeable number, because it can be changed into a prime (14164109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13391 + ... + 14409.

Almost surely, 2^14164100 is an apocalyptic number.

14164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493800).

14164100 is an abundant number, since it is smaller than the sum of its proper divisors (16823500).

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

14164100 is a wasteful number, since it uses less digits than its factorization.

14164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 14164100 is about 3763.5222863695. The cubic root of 14164100 is about 241.9522479375.

The spelling of 14164100 in words is "fourteen million, one hundred sixty-four thousand, one hundred".