104214024 has 48 divisors (see below), whose sum is σ = 284766300. Its totient is φ = 34427904.

The previous prime is 104213981. The next prime is 104214043. The reversal of 104214024 is 420412401.

It can be written as a sum of positive squares in 2 ways, for example, as 86825124 + 17388900 = 9318^2 + 4170^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 104213988 and 104214006.

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 11 ways as a sum of consecutive naturals, for example, 1732 + ... + 14540.

Almost surely, 2^104214024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142383150).

104214024 is an abundant number, since it is smaller than the sum of its proper divisors (180552276).

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

104214024 is a wasteful number, since it uses less digits than its factorization.

104214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104214024 is about 10208.5270240128. The cubic root of 104214024 is about 470.5893075686.

Adding to 104214024 its reverse (420412401), we get a palindrome (524626425).

The spelling of 104214024 in words is "one hundred four million, two hundred fourteen thousand, twenty-four".