100004112 has 80 divisors (see below), whose sum is σ = 309146880. Its totient is φ = 30768768.

The previous prime is 100004089. The next prime is 100004119. The reversal of 100004112 is 211400001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100004094 and 100004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (3864336).

Almost surely, 2^100004112 is an apocalyptic number.

100004112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100004112 is an abundant number, since it is smaller than the sum of its proper divisors (209142768).

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

100004112 is a wasteful number, since it uses less digits than its factorization.

100004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17837 (or 17825 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100004112 is about 10000.2055978865. The cubic root of 100004112 is about 464.1652453452.

Adding to 100004112 its reverse (211400001), we get a palindrome (311404113).

The spelling of 100004112 in words is "one hundred million, four thousand, one hundred twelve".