105065006172 has 24 divisors (see below), whose sum is σ = 280173350016. Its totient is φ = 30018573168.

The previous prime is 105065006159. The next prime is 105065006183. The reversal of 105065006172 is 271600560501.

It is a super-2 number, since 2×105065006172² (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, 625386858 + ... + 625387025.

It is an arithmetic number, because the mean of its divisors is an integer number (11673889584).

Almost surely, 2^105065006172 is an apocalyptic number.

105065006172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105065006172 is an abundant number, since it is smaller than the sum of its proper divisors (175108343844).

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

105065006172 is a wasteful number, since it uses less digits than its factorization.

105065006172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250773897 (or 1250773895 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 105065006172 its reverse (271600560501), we get a palindrome (376665566673).

The spelling of 105065006172 in words is "one hundred five billion, sixty-five million, six thousand, one hundred seventy-two".