106106001001 has 16 divisors (see below), whose sum is σ = 142464002688. Its totient is φ = 76320000000.

The previous prime is 106106000977. The next prime is 106106001091. The reversal of 106106001001 is 100100601601.

It is a cyclic number.

It is not a de Polignac number, because 106106001001 - 2⁹ = 106106000489 is a prime.

It is a super-2 number, since 2×106106001001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106001091) 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, 52999000 + ... + 53001001.

It is an arithmetic number, because the mean of its divisors is an integer number (8904000168).

Almost surely, 2^106106001001 is an apocalyptic number.

106106001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106106001001 is a deficient number, since it is larger than the sum of its proper divisors (36358001687).

106106001001 is a wasteful number, since it uses less digits than its factorization.

106106001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106000032.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 106106001001 its reverse (100100601601), we get a palindrome (206206602602).

It can be divided in two parts, 10610600 and 1001, that added together give a palindrome (10611601).

The spelling of 106106001001 in words is "one hundred six billion, one hundred six million, one thousand, one".