104824720 has 360 divisors, whose sum is σ = 355336632. Its totient is φ = 28385280.

The previous prime is 104824717. The next prime is 104824723. The reversal of 104824720 is 27428401.

It is an interprime number because it is at equal distance from previous prime (104824717) and next prime (104824723).

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 97140736 = 2772^2 + 9856^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104824723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6166152 + ... + 6166168.

Almost surely, 2^104824720 is an apocalyptic number.

104824720 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 104824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177668316).

104824720 is an abundant number, since it is smaller than the sum of its proper divisors (250511912).

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

104824720 is a wasteful number, since it uses less digits than its factorization.

104824720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 104824720 is about 10238.3944053743. The cubic root of 104824720 is about 471.5067383613.

The spelling of 104824720 in words is "one hundred four million, eight hundred twenty-four thousand, seven hundred twenty".