58016101 has 32 divisors (see below), whose sum is σ = 72737280. Its totient is φ = 45489600.

The previous prime is 58016083. The next prime is 58016129. The reversal of 58016101 is 10161085.

58016101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58016101 - 2¹¹ = 58014053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58016131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355846 + ... + 356008.

It is an arithmetic number, because the mean of its divisors is an integer number (2273040).

Almost surely, 2^58016101 is an apocalyptic number.

It is an amenable number.

58016101 is a deficient number, since it is larger than the sum of its proper divisors (14721179).

58016101 is a wasteful number, since it uses less digits than its factorization.

58016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 58016101 is about 7616.8301149494. The cubic root of 58016101 is about 387.1234797056.

Adding to 58016101 its reverse (10161085), we get a palindrome (68177186).

The spelling of 58016101 in words is "fifty-eight million, sixteen thousand, one hundred one".