106186096233 has 64 divisors (see below), whose sum is σ = 195353395200. Its totient is φ = 55629815040.

The previous prime is 106186096183. The next prime is 106186096259. The reversal of 106186096233 is 332690681601.

106186096233 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 609 + 6 + 2 + 33 = 666.

It is not a de Polignac number, because 106186096233 - 2⁹ = 106186095721 is a prime.

It is a super-2 number, since 2×106186096233² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106186096333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365616 + ... + 588257.

It is an arithmetic number, because the mean of its divisors is an integer number (3052396800).

Almost surely, 2^106186096233 is an apocalyptic number.

It is an amenable number.

106186096233 is a deficient number, since it is larger than the sum of its proper divisors (89167298967).

106186096233 is a wasteful number, since it uses less digits than its factorization.

106186096233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953939 (or 953933 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106186096233 in words is "one hundred six billion, one hundred eighty-six million, ninety-six thousand, two hundred thirty-three".