104557824 has 144 divisors (see below), whose sum is σ = 353530240. Its totient is φ = 29859840.

The previous prime is 104557813. The next prime is 104557829. The reversal of 104557824 is 428755401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×104557824² = 21864677119229952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104557829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47304 + ... + 49464.

Almost surely, 2^104557824 is an apocalyptic number.

104557824 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 104557824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176765120).

104557824 is an abundant number, since it is smaller than the sum of its proper divisors (248972416).

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

104557824 is an equidigital number, since it uses as much as digits as its factorization.

104557824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 104557824 is about 10225.3520232802. The cubic root of 104557824 is about 471.1062278148.

The spelling of 104557824 in words is "one hundred four million, five hundred fifty-seven thousand, eight hundred twenty-four".