14532100 has 54 divisors (see below), whose sum is σ = 34690922. Its totient is φ = 5280000.

The previous prime is 14532079. The next prime is 14532107. The reversal of 14532100 is 123541.

14532100 is nontrivially palindromic in base 7.

14532100 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 213444 + 14318656 = 462^2 + 3784^2 .

It is a super-2 number, since 2×14532100² = 422363860820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14532107) 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 17 ways as a sum of consecutive naturals, for example, 11500 + ... + 12700.

Almost surely, 2^14532100 is an apocalyptic number.

14532100 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 14532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345461).

14532100 is an abundant number, since it is smaller than the sum of its proper divisors (20158822).

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

14532100 is a wasteful number, since it uses less digits than its factorization.

14532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 14532100 is about 3812.0991592560. The cubic root of 14532100 is about 244.0297598746.

Adding to 14532100 its reverse (123541), we get a palindrome (14655641).

It can be divided in two parts, 1453 and 2100, that added together give a palindrome (3553).

The spelling of 14532100 in words is "fourteen million, five hundred thirty-two thousand, one hundred".