4102113600 has 504 divisors, whose sum is σ = 16637919480. Its totient is φ = 949616640.

The previous prime is 4102113599. The next prime is 4102113637. The reversal of 4102113600 is 63112014.

It is a happy number.

4102113600 is a `hidden beast` number, since 41 + 0 + 21 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 664402176 + 3437711424 = 25776^2 + 58632^2 .

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3181756 + ... + 3183044.

It is an arithmetic number, because the mean of its divisors is an integer number (33011745).

Almost surely, 2^4102113600 is an apocalyptic number.

4102113600 is a gapful number since it is divisible by the number (40) 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 4102113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318959740).

4102113600 is an abundant number, since it is smaller than the sum of its proper divisors (12535805880).

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

4102113600 is a wasteful number, since it uses less digits than its factorization.

4102113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1329 counting only the distinct ones).

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

The square root of 4102113600 is about 64047.7446909725. The cubic root of 4102113600 is about 1600.7956459433.

Adding to 4102113600 its reverse (63112014), we get a palindrome (4165225614).

The spelling of 4102113600 in words is "four billion, one hundred two million, one hundred thirteen thousand, six hundred".