106105506579 has 32 divisors (see below), whose sum is σ = 166469567040. Its totient is φ = 66564182016.

The previous prime is 106105506557. The next prime is 106105506581. The reversal of 106105506579 is 975605501601.

106105506579 is a `hidden beast` number, since 10 + 6 + 10 + 5 + 50 + 6 + 579 = 666.

It is not a de Polignac number, because 106105506579 - 2³² = 101810539283 is a prime.

It is a super-2 number, since 2×106105506579² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105506589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075127 + ... + 3109439.

It is an arithmetic number, because the mean of its divisors is an integer number (5202173970).

Almost surely, 2^106105506579 is an apocalyptic number.

106105506579 is a deficient number, since it is larger than the sum of its proper divisors (60364060461).

106105506579 is a wasteful number, since it uses less digits than its factorization.

106105506579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41076 (or 41070 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 106105506579 in words is "one hundred six billion, one hundred five million, five hundred six thousand, five hundred seventy-nine".