105918260 has 48 divisors (see below), whose sum is σ = 259628544. Its totient is φ = 35539968.

The previous prime is 105918257. The next prime is 105918269. The reversal of 105918260 is 62819501.

It is a super-2 number, since 2×105918260² = 22437355602855200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105918269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469 + ... + 14628.

It is an arithmetic number, because the mean of its divisors is an integer number (5408928).

Almost surely, 2^105918260 is an apocalyptic number.

105918260 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 105918260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129814272).

105918260 is an abundant number, since it is smaller than the sum of its proper divisors (153710284).

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

105918260 is a wasteful number, since it uses less digits than its factorization.

105918260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16160 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 105918260 is about 10291.6597300921. The cubic root of 105918260 is about 473.1406685745.

The spelling of 105918260 in words is "one hundred five million, nine hundred eighteen thousand, two hundred sixty".