105038530164 has 24 divisors (see below), whose sum is σ = 272322115520. Its totient is φ = 35012843352.

The previous prime is 105038530123. The next prime is 105038530169. The reversal of 105038530164 is 461035830501.

105038530164 is a `hidden beast` number, since 10 + 50 + 3 + 8 + 530 + 1 + 64 = 666.

It is a super-2 number, since 2×105038530164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105038530169) 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 7 ways as a sum of consecutive naturals, for example, 486289384 + ... + 486289599.

Almost surely, 2^105038530164 is an apocalyptic number.

It is an amenable number.

105038530164 is an abundant number, since it is smaller than the sum of its proper divisors (167283585356).

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

105038530164 is a wasteful number, since it uses less digits than its factorization.

105038530164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972578996 (or 972578988 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 105038530164 in words is "one hundred five billion, thirty-eight million, five hundred thirty thousand, one hundred sixty-four".