106556056010 has 32 divisors (see below), whose sum is σ = 192871176192. Its totient is φ = 42384737920.

The previous prime is 106556056007. The next prime is 106556056039. The reversal of 106556056010 is 10650655601.

It is a super-2 number, since 2×106556056010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6854867 + ... + 6870393.

It is an arithmetic number, because the mean of its divisors is an integer number (6027224256).

Almost surely, 2^106556056010 is an apocalyptic number.

106556056010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106556056010 is a deficient number, since it is larger than the sum of its proper divisors (86315120182).

106556056010 is a wasteful number, since it uses less digits than its factorization.

106556056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19318.

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

The spelling of 106556056010 in words is "one hundred six billion, five hundred fifty-six million, fifty-six thousand, ten".