105165772 has 6 divisors (see below), whose sum is σ = 184040108. Its totient is φ = 52582884.

The previous prime is 105165763. The next prime is 105165773. The reversal of 105165772 is 277561501.

It is a happy number.

It is a super-2 number, since 2×105165772² = 22119679200711968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105165773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13145718 + ... + 13145725.

Almost surely, 2^105165772 is an apocalyptic number.

It is an amenable number.

105165772 is a deficient number, since it is larger than the sum of its proper divisors (78874336).

105165772 is a wasteful number, since it uses less digits than its factorization.

105165772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26291447 (or 26291445 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 105165772 is about 10255.0364211932. The cubic root of 105165772 is about 472.0175410028.

The spelling of 105165772 in words is "one hundred five million, one hundred sixty-five thousand, seven hundred seventy-two".