106242266643233 has 32 divisors (see below), whose sum is σ = 122322705085440. Its totient is φ = 90389074305600.

The previous prime is 106242266643173. The next prime is 106242266643281. The reversal of 106242266643233 is 332346662242601.

It is not a de Polignac number, because 106242266643233 - 2¹⁰ = 106242266642209 is a prime.

It is a super-2 number, since 2×106242266643233² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106242266643133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4275158258 + ... + 4275183108.

It is an arithmetic number, because the mean of its divisors is an integer number (3822584533920).

Almost surely, 2^{106242266643233} is an apocalyptic number.

It is an amenable number.

106242266643233 is a deficient number, since it is larger than the sum of its proper divisors (16080438442207).

106242266643233 is a wasteful number, since it uses less digits than its factorization.

106242266643233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29717.

The product of its (nonzero) digits is 8957952, while the sum is 50.

The spelling of 106242266643233 in words is "one hundred six trillion, two hundred forty-two billion, two hundred sixty-six million, six hundred forty-three thousand, two hundred thirty-three".