58105116 has 108 divisors (see below), whose sum is σ = 164756592. Its totient is φ = 17203968.

The previous prime is 58105109. The next prime is 58105139. The reversal of 58105116 is 61150185.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 58105116.

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, 220801 + ... + 221063.

It is an arithmetic number, because the mean of its divisors is an integer number (1525524).

Almost surely, 2^58105116 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 58105116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82378296).

58105116 is an abundant number, since it is smaller than the sum of its proper divisors (106651476).

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

58105116 is a wasteful number, since it uses less digits than its factorization.

58105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 58105116 is about 7622.6711853523. The cubic root of 58105116 is about 387.3213683772.

The spelling of 58105116 in words is "fifty-eight million, one hundred five thousand, one hundred sixteen".