58004100 has 432 divisors, whose sum is σ = 242651136. Its totient is φ = 11664000.

The previous prime is 58004099. The next prime is 58004161. The reversal of 58004100 is 140085.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1871085 + ... + 1871115.

Almost surely, 2^58004100 is an apocalyptic number.

58004100 is a gapful number since it is divisible by the number (50) 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 58004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325568).

58004100 is an abundant number, since it is smaller than the sum of its proper divisors (184647036).

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

58004100 is a wasteful number, since it uses less digits than its factorization.

58004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 58004100 is about 7616.0422792944. The cubic root of 58004100 is about 387.0967848790.

Adding to 58004100 its reverse (140085), we get a palindrome (58144185).

The spelling of 58004100 in words is "fifty-eight million, four thousand, one hundred".