106165161522 has 48 divisors (see below), whose sum is σ = 264261583872. Its totient is φ = 30174085440.

The previous prime is 106165161461. The next prime is 106165161527. The reversal of 106165161522 is 225161561601.

106165161522 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 5 + 1 + 615 + 22 = 666.

It is a super-2 number, since 2×106165161522² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106165161527) 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 23 ways as a sum of consecutive naturals, for example, 2181643 + ... + 2229774.

It is an arithmetic number, because the mean of its divisors is an integer number (5505449664).

Almost surely, 2^106165161522 is an apocalyptic number.

106165161522 is an abundant number, since it is smaller than the sum of its proper divisors (158096422350).

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

106165161522 is a wasteful number, since it uses less digits than its factorization.

106165161522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411623 (or 4411620 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106165161522 in words is "one hundred six billion, one hundred sixty-five million, one hundred sixty-one thousand, five hundred twenty-two".