1378100 has 18 divisors (see below), whose sum is σ = 2990694. Its totient is φ = 551200.

The previous prime is 1378099. The next prime is 1378103. The reversal of 1378100 is 18731.

1378100 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 110224 + 1267876 = 332^2 + 1126^2 .

It is a super-2 number, since 2×1378100² = 3798319220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6791 + ... + 6990.

2^1378100 is an apocalyptic number.

1378100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378100 is an abundant number, since it is smaller than the sum of its proper divisors (1612594).

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

1378100 is a wasteful number, since it uses less digits than its factorization.

1378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1378100 is about 1173.9250401963. The cubic root of 1378100 is about 111.2825095413.

The spelling of 1378100 in words is "one million, three hundred seventy-eight thousand, one hundred".