104966080 has 56 divisors (see below), whose sum is σ = 258592320. Its totient is φ = 40535040.

The previous prime is 104966021. The next prime is 104966083. The reversal of 104966080 is 80669401.

It is a super-2 number, since 2×104966080² = 22035755901132800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104966083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3625 + ... + 14935.

It is an arithmetic number, because the mean of its divisors is an integer number (4617720).

Almost surely, 2^104966080 is an apocalyptic number.

104966080 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 104966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129296160).

104966080 is an abundant number, since it is smaller than the sum of its proper divisors (153626240).

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

104966080 is a wasteful number, since it uses less digits than its factorization.

104966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11357 (or 11347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 104966080 is about 10245.2955057431. The cubic root of 104966080 is about 471.7185912333.

The spelling of 104966080 in words is "one hundred four million, nine hundred sixty-six thousand, eighty".