105270768 has 30 divisors (see below), whose sum is σ = 294612344. Its totient is φ = 35090208.

The previous prime is 105270743. The next prime is 105270769. The reversal of 105270768 is 867072501.

It is a super-2 number, since 2×105270768² = 22163869190619648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105270769) 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 in 5 ways as a sum of consecutive naturals, for example, 365380 + ... + 365667.

Almost surely, 2^105270768 is an apocalyptic number.

105270768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105270768 is an abundant number, since it is smaller than the sum of its proper divisors (189341576).

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

105270768 is a wasteful number, since it uses less digits than its factorization.

105270768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731061 (or 731052 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 105270768 is about 10260.1543848034. The cubic root of 105270768 is about 472.1745739380.

The spelling of 105270768 in words is "one hundred five million, two hundred seventy thousand, seven hundred sixty-eight".