105311260 has 48 divisors (see below), whose sum is σ = 237426336. Its totient is φ = 39094272.

The previous prime is 105311237. The next prime is 105311299. The reversal of 105311260 is 62113501.

It is a super-2 number, since 2×105311260² = 22180922965575200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22699 + ... + 26941.

It is an arithmetic number, because the mean of its divisors is an integer number (4946382).

Almost surely, 2^105311260 is an apocalyptic number.

105311260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105311260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118713168).

105311260 is an abundant number, since it is smaller than the sum of its proper divisors (132115076).

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

105311260 is a wasteful number, since it uses less digits than its factorization.

105311260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105311260 is about 10262.1274597424. The cubic root of 105311260 is about 472.2351062280.

Adding to 105311260 its reverse (62113501), we get a palindrome (167424761).

The spelling of 105311260 in words is "one hundred five million, three hundred eleven thousand, two hundred sixty".