100820104 has 48 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 39277920.

The previous prime is 100820053. The next prime is 100820143. The reversal of 100820104 is 401028001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664 + ... + 14215.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^100820104 is an apocalyptic number.

100820104 is a gapful number since it is divisible by the number (14) 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 100820104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

100820104 is an abundant number, since it is smaller than the sum of its proper divisors (136664696).

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

100820104 is a wasteful number, since it uses less digits than its factorization.

100820104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100820104 is about 10040.9214716579. The cubic root of 100820104 is about 465.4242922731.

Adding to 100820104 its reverse (401028001), we get a palindrome (501848105).

It can be divided in two parts, 1008 and 20104, that added together give a palindrome (21112).

The spelling of 100820104 in words is "one hundred million, eight hundred twenty thousand, one hundred four".