106056106501563 has 48 divisors (see below), whose sum is σ = 157796371006560. Its totient is φ = 68590342729728.

The previous prime is 106056106501529. The next prime is 106056106501573. The reversal of 106056106501563 is 365105601650601.

106056106501563 is a `hidden beast` number, since 10 + 6 + 0 + 5 + 6 + 10 + 65 + 0 + 1 + 563 = 666.

It is not a de Polignac number, because 106056106501563 - 2⁸ = 106056106501307 is a prime.

It is a super-2 number, since 2×106056106501563² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106056106501573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132455131 + ... + 3132488987.

It is an arithmetic number, because the mean of its divisors is an integer number (3287424395970).

Almost surely, 2^{106056106501563} is an apocalyptic number.

106056106501563 is a deficient number, since it is larger than the sum of its proper divisors (51740264504997).

106056106501563 is a wasteful number, since it uses less digits than its factorization.

106056106501563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61356 (or 61353 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 106056106501563 in words is "one hundred six trillion, fifty-six billion, one hundred six million, five hundred one thousand, five hundred sixty-three".