105616162164 has 24 divisors (see below), whose sum is σ = 247225061440. Its totient is φ = 35092908864.

The previous prime is 105616162159. The next prime is 105616162229. The reversal of 105616162164 is 461261616501.

It is a happy number.

It is a super-2 number, since 2×105616162164² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14055904 + ... + 14063415.

Almost surely, 2^105616162164 is an apocalyptic number.

It is an amenable number.

105616162164 is an abundant number, since it is smaller than the sum of its proper divisors (141608899276).

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

105616162164 is a wasteful number, since it uses less digits than its factorization.

105616162164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28119639 (or 28119637 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 105616162164 its reverse (461261616501), we get a palindrome (566877778665).

The spelling of 105616162164 in words is "one hundred five billion, six hundred sixteen million, one hundred sixty-two thousand, one hundred sixty-four".