1380100 has 36 divisors (see below), whose sum is σ = 3084004. Its totient is φ = 535680.

The previous prime is 1380083. The next prime is 1380149. The reversal of 1380100 is 10831.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 1364224 = 126^2 + 1168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3514 + ... + 3886.

2^1380100 is an apocalyptic number.

1380100 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 1380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542002).

1380100 is an abundant number, since it is smaller than the sum of its proper divisors (1703904).

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

1380100 is a wasteful number, since it uses less digits than its factorization.

1380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1380100 is about 1174.7765745026. The cubic root of 1380100 is about 111.3363173052.

Adding to 1380100 its reverse (10831), we get a palindrome (1390931).

The spelling of 1380100 in words is "one million, three hundred eighty thousand, one hundred".