1318100 has 54 divisors (see below), whose sum is σ = 3339630. Its totient is φ = 450240.

The previous prime is 1318099. The next prime is 1318103. The reversal of 1318100 is 18131.

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 1317904 = 14^2 + 1148^2 .

It is a super-2 number, since 2×1318100² = 3474775220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4766 + ... + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2^1318100 is an apocalyptic number.

1318100 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 1318100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669815).

1318100 is an abundant number, since it is smaller than the sum of its proper divisors (2021530).

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

1318100 is a wasteful number, since it uses less digits than its factorization.

1318100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1318100 is about 1148.0853626800. The cubic root of 1318100 is about 109.6434737937.

The spelling of 1318100 in words is "one million, three hundred eighteen thousand, one hundred".