106010470826221 has 16 divisors (see below), whose sum is σ = 114190866644400. Its totient is φ = 97833754833408.

The previous prime is 106010470826191. The next prime is 106010470826357. The reversal of 106010470826221 is 122628074010601.

It can be written as a sum of positive squares in 8 ways, for example, as 2429249546025 + 103581221280196 = 1558605^2 + 10177486^2 .

It is a cyclic number.

It is not a de Polignac number, because 106010470826221 - 2⁵ = 106010470826189 is a prime.

It is a super-2 number, since 2×106010470826221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010470826521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864482025 + ... + 1864538881.

It is an arithmetic number, because the mean of its divisors is an integer number (7136929165275).

Almost surely, 2^{106010470826221} is an apocalyptic number.

It is an amenable number.

106010470826221 is a deficient number, since it is larger than the sum of its proper divisors (8180395818179).

106010470826221 is a wasteful number, since it uses less digits than its factorization.

106010470826221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86688.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 106010470826221 in words is "one hundred six trillion, ten billion, four hundred seventy million, eight hundred twenty-six thousand, two hundred twenty-one".