105144260 has 48 divisors (see below), whose sum is σ = 240844800. Its totient is φ = 38323584.

The previous prime is 105144257. The next prime is 105144287. The reversal of 105144260 is 62441501.

It is a super-2 number, since 2×105144260² = 22110630821895200, which contains 22 as substring.

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, 17981 + ... + 23099.

It is an arithmetic number, because the mean of its divisors is an integer number (5017600).

Almost surely, 2^105144260 is an apocalyptic number.

105144260 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 105144260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120422400).

105144260 is an abundant number, since it is smaller than the sum of its proper divisors (135700540).

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

105144260 is a wasteful number, since it uses less digits than its factorization.

105144260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105144260 is about 10253.9875170589. The cubic root of 105144260 is about 471.9853545681.

Adding to 105144260 its reverse (62441501), we get a palindrome (167585761).

The spelling of 105144260 in words is "one hundred five million, one hundred forty-four thousand, two hundred sixty".