4100100 has 72 divisors (see below), whose sum is σ = 12082560. Its totient is φ = 1073280.

The previous prime is 4100099. The next prime is 4100137. The reversal of 4100100 is 10014.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23614 + ... + 23786.

Almost surely, 2^4100100 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 4100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041280).

4100100 is an abundant number, since it is smaller than the sum of its proper divisors (7982460).

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

4100100 is a wasteful number, since it uses less digits than its factorization.

4100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 4100100 is about 2024.8703662210. The cubic root of 4100100 is about 160.0533676140.

Adding to 4100100 its reverse (10014), we get a palindrome (4110114).

The spelling of 4100100 in words is "four million, one hundred thousand, one hundred".