104556820 has 48 divisors (see below), whose sum is σ = 226855440. Its totient is φ = 40449024.

The previous prime is 104556797. The next prime is 104556877. The reversal of 104556820 is 28655401.

It can be written as a sum of positive squares in 8 ways, for example, as 1249924 + 103306896 = 1118^2 + 10164^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169152 + ... + 169768.

It is an arithmetic number, because the mean of its divisors is an integer number (4726155).

Almost surely, 2^104556820 is an apocalyptic number.

104556820 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 104556820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113427720).

104556820 is an abundant number, since it is smaller than the sum of its proper divisors (122298620).

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

104556820 is a wasteful number, since it uses less digits than its factorization.

104556820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 104556820 is about 10225.3029294980. The cubic root of 104556820 is about 471.1047199023.

The spelling of 104556820 in words is "one hundred four million, five hundred fifty-six thousand, eight hundred twenty".