106111106056101 has 4 divisors (see below), whose sum is σ = 141481474741472. Its totient is φ = 70740737370732.

The previous prime is 106111106056073. The next prime is 106111106056133. The reversal of 106111106056101 is 101650601111601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 106111106056101 - 2²² = 106111101861797 is a prime.

It is a super-2 number, since 2×106111106056101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111106156101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17685184342681 + ... + 17685184342686.

It is an arithmetic number, because the mean of its divisors is an integer number (35370368685368).

Almost surely, 2^{106111106056101} is an apocalyptic number.

It is an amenable number.

106111106056101 is a deficient number, since it is larger than the sum of its proper divisors (35370368685371).

106111106056101 is an equidigital number, since it uses as much as digits as its factorization.

106111106056101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35370368685370.

The product of its (nonzero) digits is 1080, while the sum is 30.

Adding to 106111106056101 its reverse (101650601111601), we get a palindrome (207761707167702).

The spelling of 106111106056101 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-six thousand, one hundred one".