104900824 has 48 divisors (see below), whose sum is σ = 237286800. Its totient is φ = 42583104.

The previous prime is 104900819. The next prime is 104900839. The reversal of 104900824 is 428009401.

It is a super-2 number, since 2×104900824² = 22008365751757952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104900792 and 104900801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17622 + ... + 22810.

It is an arithmetic number, because the mean of its divisors is an integer number (4943475).

Almost surely, 2^104900824 is an apocalyptic number.

104900824 is a gapful number since it is divisible by the number (14) 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 104900824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118643400).

104900824 is an abundant number, since it is smaller than the sum of its proper divisors (132385976).

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

104900824 is a wasteful number, since it uses less digits than its factorization.

104900824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 104900824 is about 10242.1103294194. The cubic root of 104900824 is about 471.6208172680.

The spelling of 104900824 in words is "one hundred four million, nine hundred thousand, eight hundred twenty-four".