105867560 has 32 divisors (see below), whose sum is σ = 238631400. Its totient is φ = 42270720.

The previous prime is 105867557. The next prime is 105867569. The reversal of 105867560 is 65768501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101566084 + 4301476 = 10078^2 + 2074^2 .

It is a super-2 number, since 2×105867560² = 22415880520707200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) 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 (105867569) 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 7 ways as a sum of consecutive naturals, for example, 23576 + ... + 27704.

Almost surely, 2^105867560 is an apocalyptic number.

105867560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105867560 is an abundant number, since it is smaller than the sum of its proper divisors (132763840).

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

105867560 is a wasteful number, since it uses less digits than its factorization.

105867560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 105867560 is about 10289.1962757059. The cubic root of 105867560 is about 473.0651636194.

It can be divided in two parts, 10 and 5867560, that multiplied together give a square (58675600 = 7660²).

The spelling of 105867560 in words is "one hundred five million, eight hundred sixty-seven thousand, five hundred sixty".