101005056106 has 16 divisors (see below), whose sum is σ = 154095436800. Its totient is φ = 49645494288.

The previous prime is 101005056091. The next prime is 101005056149. The reversal of 101005056106 is 601650500101.

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 7 ways as a sum of consecutive naturals, for example, 1359610 + ... + 1431973.

It is an arithmetic number, because the mean of its divisors is an integer number (9630964800).

Almost surely, 2^101005056106 is an apocalyptic number.

101005056106 is a deficient number, since it is larger than the sum of its proper divisors (53090380694).

101005056106 is a wasteful number, since it uses less digits than its factorization.

101005056106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791893.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 101005056106 its reverse (601650500101), we get a palindrome (702655556207).

The spelling of 101005056106 in words is "one hundred one billion, five million, fifty-six thousand, one hundred six".