106105621167 has 256 divisors, whose sum is σ = 207638323200. Its totient is φ = 52045701120.

The previous prime is 106105621121. The next prime is 106105621169. The reversal of 106105621167 is 761126501601.

It is a happy number.

106105621167 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 5 + 621 + 16 + 7 = 666.

It is not a de Polignac number, because 106105621167 - 2⁸ = 106105620911 is a prime.

It is a super-2 number, since 2×106105621167² (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 (106105621169) 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 255 ways as a sum of consecutive naturals, for example, 440272167 + ... + 440272407.

It is an arithmetic number, because the mean of its divisors is an integer number (811087200).

Almost surely, 2^106105621167 is an apocalyptic number.

106105621167 is a deficient number, since it is larger than the sum of its proper divisors (101532702033).

106105621167 is a wasteful number, since it uses less digits than its factorization.

106105621167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 106105621167 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, one hundred sixty-seven".