100001104 has 40 divisors (see below), whose sum is σ = 233090240. Its totient is φ = 40601088.

The previous prime is 100001087. The next prime is 100001107. The reversal of 100001104 is 401100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21369 + ... + 25624.

It is an arithmetic number, because the mean of its divisors is an integer number (5827256).

Almost surely, 2^100001104 is an apocalyptic number.

100001104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100001104 is an abundant number, since it is smaller than the sum of its proper divisors (133089136).

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

100001104 is a wasteful number, since it uses less digits than its factorization.

100001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47027 (or 47021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100001104 is about 10000.0551998476. The cubic root of 100001104 is about 464.1605914597.

Adding to 100001104 its reverse (401100001), we get a palindrome (501101105).

The spelling of 100001104 in words is "one hundred million, one thousand, one hundred four".