104810816 has 56 divisors (see below), whose sum is σ = 236793024. Its totient is φ = 45562880.

The previous prime is 104810813. The next prime is 104810833. The reversal of 104810816 is 618018401.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104810813) 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, 12956 + ... + 19428.

Almost surely, 2^104810816 is an apocalyptic number.

104810816 is a gapful number since it is divisible by the number (16) 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 104810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118396512).

104810816 is an abundant number, since it is smaller than the sum of its proper divisors (131982208).

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

104810816 is a wasteful number, since it uses less digits than its factorization.

104810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 104810816 is about 10237.7153701400. The cubic root of 104810816 is about 471.4858904812.

The spelling of 104810816 in words is "one hundred four million, eight hundred ten thousand, eight hundred sixteen".