106505501105656 has 16 divisors (see below), whose sum is σ = 200701321182000. Its totient is φ = 52985148790464.

The previous prime is 106505501105593. The next prime is 106505501105681. The reversal of 106505501105656 is 656501105505601.

It is a happy number.

It is a super-2 number, since 2×106505501105656² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33450218605 + ... + 33450221788.

It is an arithmetic number, because the mean of its divisors is an integer number (12543832573875).

Almost surely, 2^{106505501105656} is an apocalyptic number.

It is an amenable number.

106505501105656 is a deficient number, since it is larger than the sum of its proper divisors (94195820076344).

106505501105656 is a wasteful number, since it uses less digits than its factorization.

106505501105656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66900440598 (or 66900440594 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 46.

The spelling of 106505501105656 in words is "one hundred six trillion, five hundred five billion, five hundred one million, one hundred five thousand, six hundred fifty-six".