4101100344 has 96 divisors (see below), whose sum is σ = 12152041200. Its totient is φ = 1239152640.

The previous prime is 4101100321. The next prime is 4101100357. The reversal of 4101100344 is 4430011014.

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 23 ways as a sum of consecutive naturals, for example, 272242 + ... + 286910.

Almost surely, 2^4101100344 is an apocalyptic number.

4101100344 is a gapful number since it is divisible by the number (44) 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 4101100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076020600).

4101100344 is an abundant number, since it is smaller than the sum of its proper divisors (8050940856).

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

4101100344 is a wasteful number, since it uses less digits than its factorization.

4101100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15045 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4101100344 is about 64039.8340410092. The cubic root of 4101100344 is about 1600.6638318331.

Adding to 4101100344 its reverse (4430011014), we get a palindrome (8531111358).

The spelling of 4101100344 in words is "four billion, one hundred one million, one hundred thousand, three hundred forty-four".