83106309085966 has 32 divisors (see below), whose sum is σ = 126987114179520. Its totient is φ = 40780334995200.

The previous prime is 83106309085937. The next prime is 83106309085979. The reversal of 83106309085966 is 66958090360138.

It is a super-2 number, since 2×83106309085966² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 83106309085898 and 83106309085907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658154655 + ... + 1658204773.

It is an arithmetic number, because the mean of its divisors is an integer number (3968347318110).

Almost surely, 2^{83106309085966} is an apocalyptic number.

83106309085966 is a deficient number, since it is larger than the sum of its proper divisors (43880805093554).

83106309085966 is a wasteful number, since it uses less digits than its factorization.

83106309085966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80380.

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 83106309085966 in words is "eighty-three trillion, one hundred six billion, three hundred nine million, eighty-five thousand, nine hundred sixty-six".