105129566930 has 16 divisors (see below), whose sum is σ = 189572967000. Its totient is φ = 41976327552.

The previous prime is 105129566917. The next prime is 105129566947. The reversal of 105129566930 is 39665921501.

It can be written as a sum of positive squares in 4 ways, for example, as 64390585009 + 40738981921 = 253753^2 + 201839^2 .

It is a super-2 number, since 2×105129566930² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9431555 + ... + 9442694.

Almost surely, 2^105129566930 is an apocalyptic number.

105129566930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105129566930 is a deficient number, since it is larger than the sum of its proper divisors (84443400070).

105129566930 is a wasteful number, since it uses less digits than its factorization.

105129566930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18874813.

The product of its (nonzero) digits is 437400, while the sum is 47.

The spelling of 105129566930 in words is "one hundred five billion, one hundred twenty-nine million, five hundred sixty-six thousand, nine hundred thirty".