105306440 has 32 divisors (see below), whose sum is σ = 243346680. Its totient is φ = 40983552.

The previous prime is 105306433. The next prime is 105306451. The reversal of 105306440 is 44603501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79316836 + 25989604 = 8906^2 + 5098^2 .

It is a super-2 number, since 2×105306440² = 22178892610947200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34097 + ... + 37056.

Almost surely, 2^105306440 is an apocalyptic number.

105306440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105306440 is an abundant number, since it is smaller than the sum of its proper divisors (138040240).

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

105306440 is a wasteful number, since it uses less digits than its factorization.

105306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71201 (or 71197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105306440 is about 10261.8926129638. The cubic root of 105306440 is about 472.2279015285.

Adding to 105306440 its reverse (44603501), we get a palindrome (149909941).

The spelling of 105306440 in words is "one hundred five million, three hundred six thousand, four hundred forty".