105273768 has 32 divisors (see below), whose sum is σ = 271676160. Its totient is φ = 33959040.

The previous prime is 105273767. The next prime is 105273821. The reversal of 105273768 is 867372501.

It is a super-2 number, since 2×105273768² = 22165132457835648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105273767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70005 + ... + 71492.

It is an arithmetic number, because the mean of its divisors is an integer number (8489880).

Almost surely, 2^105273768 is an apocalyptic number.

It is an amenable number.

105273768 is an abundant number, since it is smaller than the sum of its proper divisors (166402392).

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

105273768 is a wasteful number, since it uses less digits than its factorization.

105273768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141537 (or 141533 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 105273768 is about 10260.3005803924. The cubic root of 105273768 is about 472.1790592295.

The spelling of 105273768 in words is "one hundred five million, two hundred seventy-three thousand, seven hundred sixty-eight".