104149440 has 252 divisors, whose sum is σ = 379637544. Its totient is φ = 26191872.

The previous prime is 104149439. The next prime is 104149477. The reversal of 104149440 is 44941401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2422059 + ... + 2422101.

Almost surely, 2^104149440 is an apocalyptic number.

104149440 is a gapful number since it is divisible by the number (10) 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 104149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189818772).

104149440 is an abundant number, since it is smaller than the sum of its proper divisors (275488104).

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

104149440 is a wasteful number, since it uses less digits than its factorization.

104149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104149440 is about 10205.3632958362. The cubic root of 104149440 is about 470.4920755482.

The spelling of 104149440 in words is "one hundred four million, one hundred forty-nine thousand, four hundred forty".