102100404 has 96 divisors (see below), whose sum is σ = 290949120. Its totient is φ = 27232128.

The previous prime is 102100393. The next prime is 102100421. The reversal of 102100404 is 404001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102100404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82462 + ... + 83690.

It is an arithmetic number, because the mean of its divisors is an integer number (3030720).

Almost surely, 2^102100404 is an apocalyptic number.

102100404 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 102100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145474560).

102100404 is an abundant number, since it is smaller than the sum of its proper divisors (188848716).

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

102100404 is a wasteful number, since it uses less digits than its factorization.

102100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102100404 is about 10104.4744544187. The cubic root of 102100404 is about 467.3861299110.

Adding to 102100404 its reverse (404001201), we get a palindrome (506101605).

The spelling of 102100404 in words is "one hundred two million, one hundred thousand, four hundred four".