105930058096 has 40 divisors (see below), whose sum is σ = 224805946320. Its totient is φ = 48130489344.

The previous prime is 105930058051. The next prime is 105930058099. The reversal of 105930058096 is 690850039501.

It is a super-2 number, since 2×105930058096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105930058099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6706746 + ... + 6722521.

It is an arithmetic number, because the mean of its divisors is an integer number (5620148658).

Almost surely, 2^105930058096 is an apocalyptic number.

105930058096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105930058096 is an abundant number, since it is smaller than the sum of its proper divisors (118875888224).

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

105930058096 is a wasteful number, since it uses less digits than its factorization.

105930058096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13429321 (or 13429315 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 105930058096 in words is "one hundred five billion, nine hundred thirty million, fifty-eight thousand, ninety-six".