105105616116 has 12 divisors (see below), whose sum is σ = 245246437632. Its totient is φ = 35035205368.

The previous prime is 105105616103. The next prime is 105105616129. The reversal of 105105616116 is 611616501501.

It is an interprime number because it is at equal distance from previous prime (105105616103) and next prime (105105616129).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105105616116² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4379400660 + ... + 4379400683.

It is an arithmetic number, because the mean of its divisors is an integer number (20437203136).

Almost surely, 2^105105616116 is an apocalyptic number.

It is an amenable number.

105105616116 is an abundant number, since it is smaller than the sum of its proper divisors (140140821516).

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

105105616116 is a wasteful number, since it uses less digits than its factorization.

105105616116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758801350 (or 8758801348 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 105105616116 in words is "one hundred five billion, one hundred five million, six hundred sixteen thousand, one hundred sixteen".