1114644100 has 54 divisors (see below), whose sum is σ = 2569494830. Its totient is φ = 419619840.

The previous prime is 1114644079. The next prime is 1114644131. The reversal of 1114644100 is 14464111.

It can be written as a sum of positive squares in 9 ways, for example, as 27227524 + 1087416576 = 5218^2 + 32976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9616 + ... + 48184.

Almost surely, 2^1114644100 is an apocalyptic number.

1114644100 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 1114644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284747415).

1114644100 is an abundant number, since it is smaller than the sum of its proper divisors (1454850730).

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

1114644100 is a wasteful number, since it uses less digits than its factorization.

1114644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38617 (or 38593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1114644100 is about 33386.2861067235. The cubic root of 1114644100 is about 1036.8407889589.

The spelling of 1114644100 in words is "one billion, one hundred fourteen million, six hundred forty-four thousand, one hundred".