105452313440 has 48 divisors (see below), whose sum is σ = 262243260720. Its totient is φ = 39960875520.

The previous prime is 105452313433. The next prime is 105452313503. The reversal of 105452313440 is 44313254501.

It is a super-2 number, since 2×105452313440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105452313397 and 105452313406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17341091 + ... + 17347170.

It is an arithmetic number, because the mean of its divisors is an integer number (5463401265).

Almost surely, 2^105452313440 is an apocalyptic number.

105452313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105452313440 is an abundant number, since it is smaller than the sum of its proper divisors (156790947280).

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

105452313440 is a wasteful number, since it uses less digits than its factorization.

105452313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34688295 (or 34688287 counting only the distinct ones).

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

Adding to 105452313440 its reverse (44313254501), we get a palindrome (149765567941).

The spelling of 105452313440 in words is "one hundred five billion, four hundred fifty-two million, three hundred thirteen thousand, four hundred forty".