13442100 has 144 divisors (see below), whose sum is σ = 45913728. Its totient is φ = 2972160.

The previous prime is 13442083. The next prime is 13442111. The reversal of 13442100 is 124431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13442100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77614 + ... + 77786.

Almost surely, 2^13442100 is an apocalyptic number.

13442100 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 13442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956864).

13442100 is an abundant number, since it is smaller than the sum of its proper divisors (32471628).

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

13442100 is a wasteful number, since it uses less digits than its factorization.

13442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13442100 is about 3666.3469557586. The cubic root of 13442100 is about 237.7692606364.

Adding to 13442100 its reverse (124431), we get a palindrome (13566531).

It can be divided in two parts, 1344 and 2100, that multiplied together give a square (2822400 = 1680²).

The spelling of 13442100 in words is "thirteen million, four hundred forty-two thousand, one hundred".