13452100 has 72 divisors (see below), whose sum is σ = 31826088. Its totient is φ = 4915200.

The previous prime is 13452091. The next prime is 13452113. The reversal of 13452100 is 125431.

It can be written as a sum of positive squares in 12 ways, for example, as 6980164 + 6471936 = 2642^2 + 2544^2 .

13452100 is an undulating number in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69604 + ... + 69796.

It is an arithmetic number, because the mean of its divisors is an integer number (442029).

Almost surely, 2^13452100 is an apocalyptic number.

13452100 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 13452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913044).

13452100 is an abundant number, since it is smaller than the sum of its proper divisors (18373988).

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

13452100 is a wasteful number, since it uses less digits than its factorization.

13452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

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

The square root of 13452100 is about 3667.7104574925. The cubic root of 13452100 is about 237.8282073594.

Adding to 13452100 its reverse (125431), we get a palindrome (13577531).

The spelling of 13452100 in words is "thirteen million, four hundred fifty-two thousand, one hundred".