106006001100105 has 32 divisors (see below), whose sum is σ = 178540106279040. Its totient is φ = 53559821859840.

The previous prime is 106006001100101. The next prime is 106006001100121. The reversal of 106006001100105 is 501001100600601.

It is not a de Polignac number, because 106006001100105 - 2² = 106006001100101 is a prime.

It is a super-2 number, since 2×106006001100105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006001100101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10090129 + ... + 17715041.

It is an arithmetic number, because the mean of its divisors is an integer number (5579378321220).

Almost surely, 2^{106006001100105} is an apocalyptic number.

106006001100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106006001100105 is a deficient number, since it is larger than the sum of its proper divisors (72534105178935).

106006001100105 is a wasteful number, since it uses less digits than its factorization.

106006001100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673721.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 106006001100105 its reverse (501001100600601), we get a palindrome (607007101700706).

The spelling of 106006001100105 in words is "one hundred six trillion, six billion, one million, one hundred thousand, one hundred five".