104132016 has 60 divisors (see below), whose sum is σ = 293416240. Its totient is φ = 34473600.

The previous prime is 104131969. The next prime is 104132059. The reversal of 104132016 is 610231401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 104132016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19350 + ... + 24138.

Almost surely, 2^104132016 is an apocalyptic number.

104132016 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 104132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146708120).

104132016 is an abundant number, since it is smaller than the sum of its proper divisors (189284224).

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

104132016 is a wasteful number, since it uses less digits than its factorization.

104132016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104132016 is about 10204.5095913522. The cubic root of 104132016 is about 470.4658366133.

Adding to 104132016 its reverse (610231401), we get a palindrome (714363417).

The spelling of 104132016 in words is "one hundred four million, one hundred thirty-two thousand, sixteen".