14124100 has 18 divisors (see below), whose sum is σ = 30649514. Its totient is φ = 5649600.

The previous prime is 14124091. The next prime is 14124109. The reversal of 14124100 is 142141.

It is an interprime number because it is at equal distance from previous prime (14124091) and next prime (14124109).

It can be written as a sum of positive squares in 3 ways, for example, as 3048516 + 11075584 = 1746^2 + 3328^2 .

It is not an unprimeable number, because it can be changed into a prime (14124109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70521 + ... + 70720.

Almost surely, 2^14124100 is an apocalyptic number.

14124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124100 is an abundant number, since it is smaller than the sum of its proper divisors (16525414).

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

14124100 is a wasteful number, since it uses less digits than its factorization.

14124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141255 (or 141248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14124100 is about 3758.2043584670. The cubic root of 14124100 is about 241.7242721706.

Adding to 14124100 its reverse (142141), we get a palindrome (14266241).

The spelling of 14124100 in words is "fourteen million, one hundred twenty-four thousand, one hundred".