104241312 has 144 divisors (see below), whose sum is σ = 350663040. Its totient is φ = 28740096.

The previous prime is 104241307. The next prime is 104241349. The reversal of 104241312 is 213142401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104241312² = 21732502254962688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 57573 + ... + 59355.

It is an arithmetic number, because the mean of its divisors is an integer number (2435160).

Almost surely, 2^104241312 is an apocalyptic number.

104241312 is a gapful number since it is divisible by the number (12) 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 104241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175331520).

104241312 is an abundant number, since it is smaller than the sum of its proper divisors (246421728).

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

104241312 is a wasteful number, since it uses less digits than its factorization.

104241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104241312 is about 10209.8634662761. The cubic root of 104241312 is about 470.6303779220.

Adding to 104241312 its reverse (213142401), we get a palindrome (317383713).

The spelling of 104241312 in words is "one hundred four million, two hundred forty-one thousand, three hundred twelve".