104042816 has 56 divisors (see below), whose sum is σ = 216301320. Its totient is φ = 49600512.

The previous prime is 104042791. The next prime is 104042821. The reversal of 104042816 is 618240401.

It can be written as a sum of positive squares in 4 ways, for example, as 50694400 + 53348416 = 7120^2 + 7304^2 .

It is a super-2 number, since 2×104042816² = 21649815122419712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125090 + ... + 125918.

Almost surely, 2^104042816 is an apocalyptic number.

104042816 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 104042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108150660).

104042816 is an abundant number, since it is smaller than the sum of its proper divisors (112258504).

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

104042816 is an equidigital number, since it uses as much as digits as its factorization.

104042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 104042816 is about 10200.1380382816. The cubic root of 104042816 is about 470.3314637836.

The spelling of 104042816 in words is "one hundred four million, forty-two thousand, eight hundred sixteen".