104081616 has 180 divisors, whose sum is σ = 322169484. Its totient is φ = 31334400.

The previous prime is 104081597. The next prime is 104081617. The reversal of 104081616 is 616180401.

104081616 is a `hidden beast` number, since 1 + 0 + 40 + 8 + 1 + 616 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8433216 + 95648400 = 2904^2 + 9780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104081616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104081617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1706226 + ... + 1706286.

Almost surely, 2^104081616 is an apocalyptic number.

104081616 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 104081616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161084742).

104081616 is an abundant number, since it is smaller than the sum of its proper divisors (218087868).

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

104081616 is a wasteful number, since it uses less digits than its factorization.

104081616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104081616 is about 10202.0397960408. The cubic root of 104081616 is about 470.3899223858.

The spelling of 104081616 in words is "one hundred four million, eighty-one thousand, six hundred sixteen".