100504680 has 128 divisors (see below), whose sum is σ = 336182400. Its totient is φ = 23887872.

The previous prime is 100504673. The next prime is 100504681. The reversal of 100504680 is 86405001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100504680.

It is not an unprimeable number, because it can be changed into a prime (100504681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37464 + ... + 40056.

It is an arithmetic number, because the mean of its divisors is an integer number (2626425).

Almost surely, 2^100504680 is an apocalyptic number.

100504680 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 100504680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168091200).

100504680 is an abundant number, since it is smaller than the sum of its proper divisors (235677720).

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

100504680 is a wasteful number, since it uses less digits than its factorization.

100504680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100504680 is about 10025.2022423490. The cubic root of 100504680 is about 464.9384124700.

Adding to 100504680 its reverse (86405001), we get a palindrome (186909681).

The spelling of 100504680 in words is "one hundred million, five hundred four thousand, six hundred eighty".