104315120 has 240 divisors, whose sum is σ = 320604480. Its totient is φ = 31223808.

The previous prime is 104315089. The next prime is 104315129. The reversal of 104315120 is 21513401.

It is a super-2 number, since 2×104315120² = 21763288521228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104315129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172036 + ... + 1172124.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^104315120 is an apocalyptic number.

104315120 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 104315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

104315120 is an abundant number, since it is smaller than the sum of its proper divisors (216289360).

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

104315120 is a wasteful number, since it uses less digits than its factorization.

104315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 104315120 is about 10213.4773706118. The cubic root of 104315120 is about 470.7414282377.

Adding to 104315120 its reverse (21513401), we get a palindrome (125828521).

It can be divided in two parts, 10431 and 5120, that added together give a palindrome (15551).

The spelling of 104315120 in words is "one hundred four million, three hundred fifteen thousand, one hundred twenty".