105130340 has 48 divisors (see below), whose sum is σ = 253972992. Its totient is φ = 35807616.

The previous prime is 105130327. The next prime is 105130343. The reversal of 105130340 is 43031501.

It is a super-2 number, since 2×105130340² = 22104776777031200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105130343) 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, 19589 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (5291104).

Almost surely, 2^105130340 is an apocalyptic number.

105130340 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 105130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126986496).

105130340 is an abundant number, since it is smaller than the sum of its proper divisors (148842652).

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

105130340 is a wasteful number, since it uses less digits than its factorization.

105130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105130340 is about 10253.3087342574. The cubic root of 105130340 is about 471.9645250078.

Adding to 105130340 its reverse (43031501), we get a palindrome (148161841).

The spelling of 105130340 in words is "one hundred five million, one hundred thirty thousand, three hundred forty".