105172768 has 12 divisors (see below), whose sum is σ = 207058950. Its totient is φ = 52586368.

The previous prime is 105172757. The next prime is 105172777. The reversal of 105172768 is 867271501.

It can be written as a sum of positive squares in only one way, i.e., 98962704 + 6210064 = 9948^2 + 2492^2 .

It is a super-2 number, since 2×105172768² = 22122622257563648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1643293 + ... + 1643356.

Almost surely, 2^105172768 is an apocalyptic number.

It is an amenable number.

105172768 is a deficient number, since it is larger than the sum of its proper divisors (101886182).

105172768 is an equidigital number, since it uses as much as digits as its factorization.

105172768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286659 (or 3286651 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 105172768 is about 10255.3775162107. The cubic root of 105172768 is about 472.0280075308.

The spelling of 105172768 in words is "one hundred five million, one hundred seventy-two thousand, seven hundred sixty-eight".