100004100 has 108 divisors (see below), whose sum is σ = 336634704. Its totient is φ = 22854720.

The previous prime is 100004089. The next prime is 100004119. The reversal of 100004100 is 1400001.

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.

100004100 is a modest number, since divided by 4100 gives 1000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11299 + ... + 18101.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^100004100 is an apocalyptic number.

100004100 is a gapful number since it is divisible by the number (10) 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 100004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168317352).

100004100 is an abundant number, since it is smaller than the sum of its proper divisors (236630604).

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

100004100 is a wasteful number, since it uses less digits than its factorization.

100004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6820 counting only the distinct ones).

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

The square root of 100004100 is about 10000.2049978988. The cubic root of 100004100 is about 464.1652267793.

Adding to 100004100 its reverse (1400001), we get a palindrome (101404101).

The spelling of 100004100 in words is "one hundred million, four thousand, one hundred".