58005101 has 12 divisors (see below), whose sum is σ = 72866976. Its totient is φ = 45198120.

The previous prime is 58005089. The next prime is 58005107. The reversal of 58005101 is 10150085.

It is a de Polignac number, because none of the positive numbers 2^k-58005101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58005107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33395 + ... + 35088.

It is an arithmetic number, because the mean of its divisors is an integer number (6072248).

Almost surely, 2^58005101 is an apocalyptic number.

It is an amenable number.

58005101 is a deficient number, since it is larger than the sum of its proper divisors (14861875).

58005101 is a wasteful number, since it uses less digits than its factorization.

58005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68512 (or 68501 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 58005101 is about 7616.1079955578. The cubic root of 58005101 is about 387.0990116277.

Adding to 58005101 its reverse (10150085), we get a palindrome (68155186).

It can be divided in two parts, 5800 and 5101, that added together give a palindrome (10901).

The spelling of 58005101 in words is "fifty-eight million, five thousand, one hundred one".