1113434100 has 180 divisors, whose sum is σ = 3647727468. Its totient is φ = 293760000.

The previous prime is 1113434093. The next prime is 1113434167. The reversal of 1113434100 is 14343111.

It can be written as a sum of positive squares in 6 ways, for example, as 944784 + 1112489316 = 972^2 + 33354^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 817420 + ... + 818780.

Almost surely, 2^1113434100 is an apocalyptic number.

1113434100 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 1113434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823863734).

1113434100 is an abundant number, since it is smaller than the sum of its proper divisors (2534293368).

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

1113434100 is a wasteful number, since it uses less digits than its factorization.

1113434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1113434100 is about 33368.1599732440. The cubic root of 1113434100 is about 1036.4654728687.

Adding to 1113434100 its reverse (14343111), we get a palindrome (1127777211).

The spelling of 1113434100 in words is "one billion, one hundred thirteen million, four hundred thirty-four thousand, one hundred".