106009692782 has 48 divisors (see below), whose sum is σ = 186073937280. Its totient is φ = 45163872432.

The previous prime is 106009692781. The next prime is 106009692787. The reversal of 106009692782 is 287296900601.

It is a happy number.

It is a super-2 number, since 2×106009692782² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106009692782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106009692781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12170873 + ... + 12179579.

It is an arithmetic number, because the mean of its divisors is an integer number (3876540360).

Almost surely, 2^106009692782 is an apocalyptic number.

106009692782 is a deficient number, since it is larger than the sum of its proper divisors (80064244498).

106009692782 is a wasteful number, since it uses less digits than its factorization.

106009692782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9445 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 106009692782 in words is "one hundred six billion, nine million, six hundred ninety-two thousand, seven hundred eighty-two".