104416512 has 72 divisors (see below), whose sum is σ = 281581440. Its totient is φ = 34344960.

The previous prime is 104416511. The next prime is 104416531. The reversal of 104416512 is 215614401.

It is a happy number.

It is a super-2 number, since 2×104416512² = 21805615956492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104416511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59812 + ... + 61532.

Almost surely, 2^104416512 is an apocalyptic number.

104416512 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 104416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790720).

104416512 is an abundant number, since it is smaller than the sum of its proper divisors (177164928).

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

104416512 is an equidigital number, since it uses as much as digits as its factorization.

104416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 104416512 is about 10218.4398026313. The cubic root of 104416512 is about 470.8938956181.

The spelling of 104416512 in words is "one hundred four million, four hundred sixteen thousand, five hundred twelve".