104216640 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 24729600.

The previous prime is 104216639. The next prime is 104216659. The reversal of 104216640 is 46612401.

It is a super-2 number, since 2×104216640² = 21722216105779200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104216640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749691 + ... + 749829.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^104216640 is an apocalyptic number.

104216640 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 104216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

104216640 is an abundant number, since it is smaller than the sum of its proper divisors (264469440).

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

104216640 is a wasteful number, since it uses less digits than its factorization.

104216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 104216640 is about 10208.6551513899. The cubic root of 104216640 is about 470.5932451427.

The spelling of 104216640 in words is "one hundred four million, two hundred sixteen thousand, six hundred forty".