106161100056 has 96 divisors (see below), whose sum is σ = 320952265920. Its totient is φ = 31421880000.

The previous prime is 106161100051. The next prime is 106161100063. The reversal of 106161100056 is 650001161601.

It is a super-2 number, since 2×106161100056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106161100051) 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 23 ways as a sum of consecutive naturals, for example, 1524570 + ... + 1592681.

It is an arithmetic number, because the mean of its divisors is an integer number (3343252770).

Almost surely, 2^106161100056 is an apocalyptic number.

It is an amenable number.

106161100056 is an abundant number, since it is smaller than the sum of its proper divisors (214791165864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106161100056 is a wasteful number, since it uses less digits than its factorization.

106161100056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117317 (or 3117310 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 106161100056 its reverse (650001161601), we get a palindrome (756162261657).

The spelling of 106161100056 in words is "one hundred six billion, one hundred sixty-one million, one hundred thousand, fifty-six".