105324135440 has 20 divisors (see below), whose sum is σ = 244878615084. Its totient is φ = 42129654144.

The previous prime is 105324135419. The next prime is 105324135461. The reversal of 105324135440 is 44531423501.

It is an interprime number because it is at equal distance from previous prime (105324135419) and next prime (105324135461).

It can be written as a sum of positive squares in 2 ways, for example, as 69966598144 + 35357537296 = 264512^2 + 188036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105324135440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105324135397 and 105324135406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658275767 + ... + 658275926.

Almost surely, 2^105324135440 is an apocalyptic number.

105324135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105324135440 is an abundant number, since it is smaller than the sum of its proper divisors (139554479644).

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

105324135440 is a wasteful number, since it uses less digits than its factorization.

105324135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316551706 (or 1316551700 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 105324135440 its reverse (44531423501), we get a palindrome (149855558941).

The spelling of 105324135440 in words is "one hundred five billion, three hundred twenty-four million, one hundred thirty-five thousand, four hundred forty".