104091984 has 60 divisors (see below), whose sum is σ = 293936916. Its totient is φ = 34384896.

The previous prime is 104091983. The next prime is 104092031. The reversal of 104091984 is 489190401.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 102819600 = 1128^2 + 10140^2 .

It is a super-2 number, since 2×104091984² = 21670282266112512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104091983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13074 + ... + 19470.

Almost surely, 2^104091984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104091984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146968458).

104091984 is an abundant number, since it is smaller than the sum of its proper divisors (189844932).

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

104091984 is a wasteful number, since it uses less digits than its factorization.

104091984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 104091984 is about 10202.5479170646. The cubic root of 104091984 is about 470.4055410287.

The spelling of 104091984 in words is "one hundred four million, ninety-one thousand, nine hundred eighty-four".