104532120 has 320 divisors, whose sum is σ = 439084800. Its totient is φ = 21669120.

The previous prime is 104532107. The next prime is 104532137. The reversal of 104532120 is 21235401.

104532120 is a `hidden beast` number, since 1 + 0 + 453 + 212 + 0 = 666.

It is a super-2 number, since 2×104532120² = 21853928223388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104532093 and 104532102.

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 79 ways as a sum of consecutive naturals, for example, 249271 + ... + 249689.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^104532120 is an apocalyptic number.

104532120 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 104532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

104532120 is an abundant number, since it is smaller than the sum of its proper divisors (334552680).

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

104532120 is a wasteful number, since it uses less digits than its factorization.

104532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104532120 is about 10224.0950699805. The cubic root of 104532120 is about 471.0676198100.

Adding to 104532120 its reverse (21235401), we get a palindrome (125767521).

The spelling of 104532120 in words is "one hundred four million, five hundred thirty-two thousand, one hundred twenty".