106687744227762 has 64 divisors (see below), whose sum is σ = 222193606809600. Its totient is φ = 34125718011840.

The previous prime is 106687744227761. The next prime is 106687744227763. The reversal of 106687744227762 is 267722447786601.

It is an interprime number because it is at equal distance from previous prime (106687744227761) and next prime (106687744227763).

It is a super-2 number, since 2×106687744227762² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106687744227761) 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 31 ways as a sum of consecutive naturals, for example, 2153689 + ... + 14765292.

It is an arithmetic number, because the mean of its divisors is an integer number (3471775106400).

Almost surely, 2^{106687744227762} is an apocalyptic number.

106687744227762 is an abundant number, since it is smaller than the sum of its proper divisors (115505862581838).

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

106687744227762 is a wasteful number, since it uses less digits than its factorization.

106687744227762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919471.

The product of its (nonzero) digits is 531062784, while the sum is 69.

The spelling of 106687744227762 in words is "one hundred six trillion, six hundred eighty-seven billion, seven hundred forty-four million, two hundred twenty-seven thousand, seven hundred sixty-two".