104550624 has 72 divisors (see below), whose sum is σ = 301562352. Its totient is φ = 34352640.

The previous prime is 104550583. The next prime is 104550643. The reversal of 104550624 is 426055401.

104550624 is a `hidden beast` number, since 104 + 550 + 6 + 2 + 4 = 666.

It is a Cunningham number, because it is equal to 10225²-1.

It is a tau number, because it is divible by the number of its divisors (72).

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, 17892 + ... + 23004.

It is an arithmetic number, because the mean of its divisors is an integer number (4188366).

Almost surely, 2^104550624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104550624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150781176).

104550624 is an abundant number, since it is smaller than the sum of its proper divisors (197011728).

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

104550624 is a wasteful number, since it uses less digits than its factorization.

104550624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 104550624 is about 10224.9999511002. Note that the first 4 decimals coincide. The cubic root of 104550624 is about 471.0954138857.

The spelling of 104550624 in words is "one hundred four million, five hundred fifty thousand, six hundred twenty-four".