106442233616264 has 32 divisors (see below), whose sum is σ = 245635923731520. Its totient is φ = 42109015496256.

The previous prime is 106442233616237. The next prime is 106442233616269. The reversal of 106442233616264 is 462616332244601.

It is a super-2 number, since 2×106442233616264² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106442233616269) by changing a digit.

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, 73105928954 + ... + 73105930409.

It is an arithmetic number, because the mean of its divisors is an integer number (7676122616610).

Almost surely, 2^{106442233616264} is an apocalyptic number.

106442233616264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106442233616264 is an abundant number, since it is smaller than the sum of its proper divisors (139193690115256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106442233616264 is a wasteful number, since it uses less digits than its factorization.

106442233616264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146211859389 (or 146211859385 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 50.

The spelling of 106442233616264 in words is "one hundred six trillion, four hundred forty-two billion, two hundred thirty-three million, six hundred sixteen thousand, two hundred sixty-four".