104561424 has 180 divisors, whose sum is σ = 341532828. Its totient is φ = 29736960.

The previous prime is 104561399. The next prime is 104561461. The reversal of 104561424 is 424165401.

104561424 is a `hidden beast` number, since 1 + 0 + 45 + 614 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 41835024 = 7920^2 + 6468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296032 + ... + 296384.

Almost surely, 2^104561424 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 104561424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170766414).

104561424 is an abundant number, since it is smaller than the sum of its proper divisors (236971404).

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

104561424 is a wasteful number, since it uses less digits than its factorization.

104561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104561424 is about 10225.5280548244. The cubic root of 104561424 is about 471.1116345933. Note that the first 3 decimals are identical.

The spelling of 104561424 in words is "one hundred four million, five hundred sixty-one thousand, four hundred twenty-four".