104563120 has 80 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 40140800.

The previous prime is 104563111. The next prime is 104563127. The reversal of 104563120 is 21365401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 104563091 and 104563100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104563127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232656 + ... + 233104.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^104563120 is an apocalyptic number.

104563120 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 104563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

104563120 is an abundant number, since it is smaller than the sum of its proper divisors (148545680).

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

104563120 is a wasteful number, since it uses less digits than its factorization.

104563120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 104563120 is about 10225.6109841906. The cubic root of 104563120 is about 471.1141817436.

The spelling of 104563120 in words is "one hundred four million, five hundred sixty-three thousand, one hundred twenty".