105126760 has 16 divisors (see below), whose sum is σ = 236535300. Its totient is φ = 42050688.

The previous prime is 105126743. The next prime is 105126761. The reversal of 105126760 is 67621501.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 964324 = 10206^2 + 982^2 .

It is a super-2 number, since 2×105126760² = 22103271336195200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105126761) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 1314045 + ... + 1314124.

Almost surely, 2^105126760 is an apocalyptic number.

105126760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105126760 is an abundant number, since it is smaller than the sum of its proper divisors (131408540).

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

105126760 is a wasteful number, since it uses less digits than its factorization.

105126760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628180 (or 2628176 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105126760 is about 10253.1341549791. The cubic root of 105126760 is about 471.9591676829.

The spelling of 105126760 in words is "one hundred five million, one hundred twenty-six thousand, seven hundred sixty".