106055101106101 has 16 divisors (see below), whose sum is σ = 122474540659968. Its totient is φ = 89953848864000.

The previous prime is 106055101106099. The next prime is 106055101106117. The reversal of 106055101106101 is 101601101550601.

It is a cyclic number.

It is not a de Polignac number, because 106055101106101 - 2¹ = 106055101106099 is a prime.

It is a super-2 number, since 2×106055101106101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106055101106101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055101406101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40805380 + ... + 43326541.

It is an arithmetic number, because the mean of its divisors is an integer number (7654658791248).

Almost surely, 2^{106055101106101} is an apocalyptic number.

It is an amenable number.

106055101106101 is a deficient number, since it is larger than the sum of its proper divisors (16419439553867).

106055101106101 is a wasteful number, since it uses less digits than its factorization.

106055101106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84133812.

The product of its (nonzero) digits is 900, while the sum is 28.

Adding to 106055101106101 its reverse (101601101550601), we get a palindrome (207656202656702).

The spelling of 106055101106101 in words is "one hundred six trillion, fifty-five billion, one hundred one million, one hundred six thousand, one hundred one".