106071101170601 has 16 divisors (see below), whose sum is σ = 122603578162560. Its totient is φ = 89888649901440.

The previous prime is 106071101170549. The next prime is 106071101170627.

It is a happy number.

106071101170601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 106071101170601 - 2⁶ = 106071101170537 is a prime.

It is a super-2 number, since 2×106071101170601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106071101170651) 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, 214756796 + ... + 215250141.

It is an arithmetic number, because the mean of its divisors is an integer number (7662723635160).

Almost surely, 2^{106071101170601} is an apocalyptic number.

It is an amenable number.

106071101170601 is a deficient number, since it is larger than the sum of its proper divisors (16532476991959).

106071101170601 is a wasteful number, since it uses less digits than its factorization.

106071101170601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430007344.

The product of its (nonzero) digits is 1764, while the sum is 32.

It can be divided in two parts, 10607110 and 1170601, that added together give a palindrome (11777711).

The spelling of 106071101170601 in words is "one hundred six trillion, seventy-one billion, one hundred one million, one hundred seventy thousand, six hundred one".