106005111101 has 4 divisors (see below), whose sum is σ = 106281887232. Its totient is φ = 105728334972.

The previous prime is 106005111061. The next prime is 106005111119. The reversal of 106005111101 is 101111500601.

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 a cyclic number.

It is not a de Polignac number, because 106005111101 - 2¹⁰ = 106005110077 is a prime.

It is a super-2 number, since 2×106005111101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106005111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005114101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138387491 + ... + 138388256.

It is an arithmetic number, because the mean of its divisors is an integer number (26570471808).

Almost surely, 2^106005111101 is an apocalyptic number.

It is an amenable number.

106005111101 is a deficient number, since it is larger than the sum of its proper divisors (276776131).

106005111101 is an equidigital number, since it uses as much as digits as its factorization.

106005111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276776130.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 106005111101 its reverse (101111500601), we get a palindrome (207116611702).

The spelling of 106005111101 in words is "one hundred six billion, five million, one hundred eleven thousand, one hundred one".