4100096 has 104 divisors (see below), whose sum is σ = 11008704. Its totient is φ = 1474560.

The previous prime is 4100069. The next prime is 4100099. The reversal of 4100096 is 6900014.

It is a tau number, because it is divible by the number of its divisors (104).

It is an Ulam number.

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4100099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315386 + ... + 315398.

Almost surely, 2^4100096 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 4100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504352).

4100096 is an abundant number, since it is smaller than the sum of its proper divisors (6908608).

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

4100096 is a wasteful number, since it uses less digits than its factorization.

4100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4100096 is about 2024.8693785032. The cubic root of 4100096 is about 160.0533155654.

The spelling of 4100096 in words is "four million, one hundred thousand, ninety-six".