106353632161 has 24 divisors (see below), whose sum is σ = 124110888000. Its totient is φ = 90870794784.

The previous prime is 106353632131. The next prime is 106353632197. The reversal of 106353632161 is 161236353601.

It is a happy number.

It is not a de Polignac number, because 106353632161 - 2²⁵ = 106320077729 is a prime.

It is a super-2 number, since 2×106353632161² (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 106353632161.

It is not an unprimeable number, because it can be changed into a prime (106353632111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46871335 + ... + 46873603.

It is an arithmetic number, because the mean of its divisors is an integer number (5171287000).

Almost surely, 2^106353632161 is an apocalyptic number.

It is an amenable number.

106353632161 is a deficient number, since it is larger than the sum of its proper divisors (17757255839).

106353632161 is a wasteful number, since it uses less digits than its factorization.

106353632161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

Adding to 106353632161 its reverse (161236353601), we get a palindrome (267589985762).

The spelling of 106353632161 in words is "one hundred six billion, three hundred fifty-three million, six hundred thirty-two thousand, one hundred sixty-one".