4105032100 has 72 divisors (see below), whose sum is σ = 9606885120. Its totient is φ = 1513534080.

The previous prime is 4105032097. The next prime is 4105032119. The reversal of 4105032100 is 12305014.

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 23 ways as a sum of consecutive naturals, for example, 1120071 + ... + 1123729.

It is an arithmetic number, because the mean of its divisors is an integer number (133428960).

Almost surely, 2^4105032100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803442560).

4105032100 is an abundant number, since it is smaller than the sum of its proper divisors (5501853020).

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

4105032100 is a wasteful number, since it uses less digits than its factorization.

4105032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4105032100 is about 64070.5244242624. The cubic root of 4105032100 is about 1601.1751913045.

Adding to 4105032100 its reverse (12305014), we get a palindrome (4117337114).

The spelling of 4105032100 in words is "four billion, one hundred five million, thirty-two thousand, one hundred".