105051615966 has 48 divisors (see below), whose sum is σ = 249948286848. Its totient is φ = 31622994000.

The previous prime is 105051615953. The next prime is 105051615967. The reversal of 105051615966 is 669516150501.

105051615966 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 51 + 6 + 1 + 596 + 6 = 666.

It is a super-2 number, since 2×105051615966² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051615967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1726936 + ... + 1786731.

It is an arithmetic number, because the mean of its divisors is an integer number (5207255976).

Almost surely, 2^105051615966 is an apocalyptic number.

105051615966 is an abundant number, since it is smaller than the sum of its proper divisors (144896670882).

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

105051615966 is a wasteful number, since it uses less digits than its factorization.

105051615966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513837 (or 3513834 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 105051615966 in words is "one hundred five billion, fifty-one million, six hundred fifteen thousand, nine hundred sixty-six".