105650500164 has 96 divisors (see below), whose sum is σ = 272813184000. Its totient is φ = 31555877760.

The previous prime is 105650500129. The next prime is 105650500187. The reversal of 105650500164 is 461005056501.

It is a super-2 number, since 2×105650500164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2791882 + ... + 2829470.

It is an arithmetic number, because the mean of its divisors is an integer number (2841804000).

Almost surely, 2^105650500164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105650500164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136406592000).

105650500164 is an abundant number, since it is smaller than the sum of its proper divisors (167162683836).

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

105650500164 is a wasteful number, since it uses less digits than its factorization.

105650500164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37913 (or 37911 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 105650500164 its reverse (461005056501), we get a palindrome (566655556665).

The spelling of 105650500164 in words is "one hundred five billion, six hundred fifty million, five hundred thousand, one hundred sixty-four".