106105621168 has 20 divisors (see below), whose sum is σ = 206321814400. Its totient is φ = 52861281984.

The previous prime is 106105621121. The next prime is 106105621169. The reversal of 106105621168 is 861126501601.

It is a super-2 number, since 2×106105621168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105621169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11965968 + ... + 11974831.

It is an arithmetic number, because the mean of its divisors is an integer number (10316090720).

Almost surely, 2^106105621168 is an apocalyptic number.

It is an amenable number.

106105621168 is a deficient number, since it is larger than the sum of its proper divisors (100216193232).

106105621168 is a wasteful number, since it uses less digits than its factorization.

106105621168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23941084 (or 23941078 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 106105621168 in words is "one hundred six billion, one hundred five million, six hundred twenty-one thousand, one hundred sixty-eight".