1114100 has 36 divisors (see below), whose sum is σ = 2606604. Its totient is φ = 410880.

The previous prime is 1114063. The next prime is 1114111. The reversal of 1114100 is 14111.

It can be written as a sum of positive squares in 6 ways, for example, as 7396 + 1106704 = 86^2 + 1052^2 .

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, 872 + ... + 1728.

2^1114100 is an apocalyptic number.

1114100 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 1114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303302).

1114100 is an abundant number, since it is smaller than the sum of its proper divisors (1492504).

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

1114100 is a wasteful number, since it uses less digits than its factorization.

1114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1114100 is about 1055.5093557141. The cubic root of 1114100 is about 103.6672054415.

Adding to 1114100 its reverse (14111), we get a palindrome (1128211).

The spelling of 1114100 in words is "one million, one hundred fourteen thousand, one hundred".