105343431300 has 108 divisors (see below), whose sum is σ = 334843943616. Its totient is φ = 27695908800.

The previous prime is 105343431257. The next prime is 105343431313. The reversal of 105343431300 is 3134343501.

105343431300 is a `hidden beast` number, since 1 + 0 + 5 + 343 + 4 + 313 + 0 + 0 = 666.

It is a super-2 number, since 2×105343431300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760384 + ... + 888183.

Almost surely, 2^105343431300 is an apocalyptic number.

105343431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105343431300 is an abundant number, since it is smaller than the sum of its proper divisors (229500512316).

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

105343431300 is a wasteful number, since it uses less digits than its factorization.

105343431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648658 (or 1648648 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 105343431300 its reverse (3134343501), we get a palindrome (108477774801).

The spelling of 105343431300 in words is "one hundred five billion, three hundred forty-three million, four hundred thirty-one thousand, three hundred".