105041310 has 96 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 24108480.

The previous prime is 105041309. The next prime is 105041341. The reversal of 105041310 is 13140501.

It is a super-2 number, since 2×105041310² = 22067353613032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105041310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68209 + ... + 69731.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^105041310 is an apocalyptic number.

105041310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105041310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145938240).

105041310 is an abundant number, since it is smaller than the sum of its proper divisors (186835170).

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

105041310 is a wasteful number, since it uses less digits than its factorization.

105041310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105041310 is about 10248.9662893386. The cubic root of 105041310 is about 471.8312591065.

Adding to 105041310 its reverse (13140501), we get a palindrome (118181811).

The spelling of 105041310 in words is "one hundred five million, forty-one thousand, three hundred ten".