14921100 has 108 divisors (see below), whose sum is σ = 47731320. Its totient is φ = 3897600.

The previous prime is 14921069. The next prime is 14921107. The reversal of 14921100 is 112941.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14921107) 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 35 ways as a sum of consecutive naturals, for example, 52960 + ... + 53240.

Almost surely, 2^14921100 is an apocalyptic number.

14921100 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 14921100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23865660).

14921100 is an abundant number, since it is smaller than the sum of its proper divisors (32810220).

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

14921100 is a wasteful number, since it uses less digits than its factorization.

14921100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 14921100 is about 3862.7839701438. The cubic root of 14921100 is about 246.1880378686.

The spelling of 14921100 in words is "fourteen million, nine hundred twenty-one thousand, one hundred".