104123040 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 22450176.

The previous prime is 104123029. The next prime is 104123051. The reversal of 104123040 is 40321401.

It is an interprime number because it is at equal distance from previous prime (104123029) and next prime (104123051).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446764 + ... + 446996.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^104123040 is an apocalyptic number.

104123040 is a gapful number since it is divisible by the number (10) 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 104123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

104123040 is an abundant number, since it is smaller than the sum of its proper divisors (299218080).

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

104123040 is a wasteful number, since it uses less digits than its factorization.

104123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104123040 is about 10204.0697763196. The cubic root of 104123040 is about 470.4523184439.

Adding to 104123040 its reverse (40321401), we get a palindrome (144444441).

The spelling of 104123040 in words is "one hundred four million, one hundred twenty-three thousand, forty".