105045760 has 36 divisors (see below), whose sum is σ = 251620488. Its totient is φ = 42017792.

The previous prime is 105045739. The next prime is 105045767. The reversal of 105045760 is 67540501.

It is a super-2 number, since 2×105045760² = 22069223387955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105045767) 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, 39754 + ... + 42313.

It is an arithmetic number, because the mean of its divisors is an integer number (6989458).

Almost surely, 2^105045760 is an apocalyptic number.

105045760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105045760 is an abundant number, since it is smaller than the sum of its proper divisors (146574728).

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

105045760 is an frugal number, since it uses more digits than its factorization.

105045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82088 (or 82074 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105045760 is about 10249.1833821042. The cubic root of 105045760 is about 471.8379219437.

The spelling of 105045760 in words is "one hundred five million, forty-five thousand, seven hundred sixty".