1102400 has 84 divisors (see below), whose sum is σ = 2976372. Its totient is φ = 399360.

The previous prime is 1102397. The next prime is 1102411. The reversal of 1102400 is 42011.

It can be written as a sum of positive squares in 6 ways, for example, as 53824 + 1048576 = 232^2 + 1024^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 20774 + ... + 20826.

It is an arithmetic number, because the mean of its divisors is an integer number (35433).

2^1102400 is an apocalyptic number.

1102400 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 1102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186).

1102400 is an abundant number, since it is smaller than the sum of its proper divisors (1873972).

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

1102400 is a wasteful number, since it uses less digits than its factorization.

1102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1102400 is about 1049.9523798725. The cubic root of 1102400 is about 103.3030319293.

Adding to 1102400 its reverse (42011), we get a palindrome (1144411).

The spelling of 1102400 in words is "one million, one hundred two thousand, four hundred".