11142600 has 144 divisors (see below), whose sum is σ = 40287600. Its totient is φ = 2540160.

The previous prime is 11142581. The next prime is 11142613. The reversal of 11142600 is 624111.

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 11142600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29211 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (279775).

Almost surely, 2^11142600 is an apocalyptic number.

11142600 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 11142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143800).

11142600 is an abundant number, since it is smaller than the sum of its proper divisors (29145000).

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

11142600 is a wasteful number, since it uses less digits than its factorization.

11142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11142600 is about 3338.0533249186. The cubic root of 11142600 is about 223.3549148719.

Adding to 11142600 its reverse (624111), we get a palindrome (11766711).

The spelling of 11142600 in words is "eleven million, one hundred forty-two thousand, six hundred".