106106105010110 has 16 divisors (see below), whose sum is σ = 202225753078416. Its totient is φ = 39945827768448.

The previous prime is 106106105010107. The next prime is 106106105010137. The reversal of 106106105010110 is 11010501601601.

It is a happy number.

106106105010110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106106105010110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312076779272 + ... + 312076779611.

It is an arithmetic number, because the mean of its divisors is an integer number (12639109567401).

Almost surely, 2^{106106105010110} is an apocalyptic number.

106106105010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106106105010110 is a deficient number, since it is larger than the sum of its proper divisors (96119648068306).

106106105010110 is a wasteful number, since it uses less digits than its factorization.

106106105010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624153558907.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 106106105010110 its reverse (11010501601601), we get a palindrome (117116606611711).

The spelling of 106106105010110 in words is "one hundred six trillion, one hundred six billion, one hundred five million, ten thousand, one hundred ten".