105437110164 has 24 divisors (see below), whose sum is σ = 246025690848. Its totient is φ = 35144879520.

The previous prime is 105437110157. The next prime is 105437110187. The reversal of 105437110164 is 461011734501.

It is a super-2 number, since 2×105437110164² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 651154 + ... + 796790.

It is an arithmetic number, because the mean of its divisors is an integer number (10251070452).

Almost surely, 2^105437110164 is an apocalyptic number.

It is an amenable number.

105437110164 is an abundant number, since it is smaller than the sum of its proper divisors (140588580684).

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

105437110164 is a wasteful number, since it uses less digits than its factorization.

105437110164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205975 (or 205973 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 105437110164 its reverse (461011734501), we get a palindrome (566448844665).

The spelling of 105437110164 in words is "one hundred five billion, four hundred thirty-seven million, one hundred ten thousand, one hundred sixty-four".