106105100101 has 48 divisors (see below), whose sum is σ = 143760279168. Its totient is φ = 76045132800.

The previous prime is 106105100089. The next prime is 106105100117. The reversal of 106105100101 is 101001501601.

It is not a de Polignac number, because 106105100101 - 2⁹ = 106105099589 is a prime.

It is a super-2 number, since 2×106105100101² (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 (106105100161) 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 47 ways as a sum of consecutive naturals, for example, 3642145 + ... + 3671161.

It is an arithmetic number, because the mean of its divisors is an integer number (2995005816).

Almost surely, 2^106105100101 is an apocalyptic number.

106105100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106105100101 is a deficient number, since it is larger than the sum of its proper divisors (37655179067).

106105100101 is a wasteful number, since it uses less digits than its factorization.

106105100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29342 (or 29329 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 106105100101 its reverse (101001501601), we get a palindrome (207106601702).

The spelling of 106105100101 in words is "one hundred six billion, one hundred five million, one hundred thousand, one hundred one".