105101050110966 has 192 divisors, whose sum is σ = 292563087014016. Its totient is φ = 26527668480000.

The previous prime is 105101050110841. The next prime is 105101050111007. The reversal of 105101050110966 is 669011050101501.

It is a happy number.

105101050110966 is a `hidden beast` number, since 1 + 0 + 51 + 0 + 1 + 0 + 501 + 10 + 96 + 6 = 666.

It is a super-2 number, since 2×105101050110966² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105101050110966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10517535 + ... + 17911466.

It is an arithmetic number, because the mean of its divisors is an integer number (1523766078198).

Almost surely, 2^{105101050110966} is an apocalyptic number.

105101050110966 is an abundant number, since it is smaller than the sum of its proper divisors (187462036903050).

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

105101050110966 is a wasteful number, since it uses less digits than its factorization.

105101050110966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28429127 (or 28429124 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 105101050110966 in words is "one hundred five trillion, one hundred one billion, fifty million, one hundred ten thousand, nine hundred sixty-six".