106751272221 has 48 divisors (see below), whose sum is σ = 175453387200. Its totient is φ = 64323486720.

The previous prime is 106751272219. The next prime is 106751272241. The reversal of 106751272221 is 122272157601.

106751272221 is a `hidden beast` number, since 10 + 67 + 512 + 72 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 106751272221 - 2¹ = 106751272219 is a prime.

It is a super-2 number, since 2×106751272221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106751272211) 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, 347005 + ... + 577853.

It is an arithmetic number, because the mean of its divisors is an integer number (3655278900).

Almost surely, 2^106751272221 is an apocalyptic number.

106751272221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106751272221 is a deficient number, since it is larger than the sum of its proper divisors (68702114979).

106751272221 is a wasteful number, since it uses less digits than its factorization.

106751272221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231048 (or 231036 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 106751272221 in words is "one hundred six billion, seven hundred fifty-one million, two hundred seventy-two thousand, two hundred twenty-one".