104533120 has 64 divisors (see below), whose sum is σ = 251330040. Its totient is φ = 41574400.

The previous prime is 104533109. The next prime is 104533157. The reversal of 104533120 is 21335401.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 17372224 = 9336^2 + 4168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148770 + ... + 149470.

Almost surely, 2^104533120 is an apocalyptic number.

104533120 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 104533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125665020).

104533120 is an abundant number, since it is smaller than the sum of its proper divisors (146796920).

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

104533120 is an equidigital number, since it uses as much as digits as its factorization.

104533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 104533120 is about 10224.1439739472. The cubic root of 104533120 is about 471.0691219516.

Adding to 104533120 its reverse (21335401), we get a palindrome (125868521).

It can be divided in two parts, 104533 and 120, that added together give a triangular number (104653 = T₄₅₇).

The spelling of 104533120 in words is "one hundred four million, five hundred thirty-three thousand, one hundred twenty".