106105608501 has 16 divisors (see below), whose sum is σ = 141656064000. Its totient is φ = 70646173488.

The previous prime is 106105608481. The next prime is 106105608503. The reversal of 106105608501 is 105806501601.

It is not a de Polignac number, because 106105608501 - 2³³ = 97515673909 is a prime.

It is a super-2 number, since 2×106105608501² (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 (106105608503) 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 15 ways as a sum of consecutive naturals, for example, 9199200 + ... + 9210726.

It is an arithmetic number, because the mean of its divisors is an integer number (8853504000).

Almost surely, 2^106105608501 is an apocalyptic number.

It is an amenable number.

106105608501 is a deficient number, since it is larger than the sum of its proper divisors (35550455499).

106105608501 is a wasteful number, since it uses less digits than its factorization.

106105608501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208.

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 106105608501 in words is "one hundred six billion, one hundred five million, six hundred eight thousand, five hundred one".