106105506056 has 32 divisors (see below), whose sum is σ = 226470254400. Its totient is φ = 46132827840.

The previous prime is 106105506049. The next prime is 106105506077. The reversal of 106105506056 is 650605501601.

It is a super-2 number, since 2×106105506056² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26209811 + ... + 26213858.

It is an arithmetic number, because the mean of its divisors is an integer number (7077195450).

Almost surely, 2^106105506056 is an apocalyptic number.

It is an amenable number.

106105506056 is an abundant number, since it is smaller than the sum of its proper divisors (120364748344).

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

106105506056 is a wasteful number, since it uses less digits than its factorization.

106105506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52423709 (or 52423705 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 106105506056 in words is "one hundred six billion, one hundred five million, five hundred six thousand, fifty-six".