104100414 has 48 divisors (see below), whose sum is σ = 230232576. Its totient is φ = 31355280.

The previous prime is 104100383. The next prime is 104100431. The reversal of 104100414 is 414001401.

It is a junction number, because it is equal to n+sod(n) for n = 104100393 and 104100402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161577 + ... + 162219.

It is an arithmetic number, because the mean of its divisors is an integer number (4796512).

Almost surely, 2^104100414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104100414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115116288).

104100414 is an abundant number, since it is smaller than the sum of its proper divisors (126132162).

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

104100414 is a wasteful number, since it uses less digits than its factorization.

104100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104100414 is about 10202.9610407960. The cubic root of 104100414 is about 470.4182394502.

Adding to 104100414 its reverse (414001401), we get a palindrome (518101815).

The spelling of 104100414 in words is "one hundred four million, one hundred thousand, four hundred fourteen".