105431403420 has 144 divisors (see below), whose sum is σ = 386995347648. Its totient is φ = 22681036800.

The previous prime is 105431403419. The next prime is 105431403461. The reversal of 105431403420 is 24304134501.

It is a happy number.

105431403420 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 314 + 0 + 342 + 0 = 666.

It is a super-2 number, since 2×105431403420² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2439631 + ... + 2482470.

It is an arithmetic number, because the mean of its divisors is an integer number (2687467692).

Almost surely, 2^105431403420 is an apocalyptic number.

105431403420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105431403420 is an abundant number, since it is smaller than the sum of its proper divisors (281563944228).

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

105431403420 is a wasteful number, since it uses less digits than its factorization.

105431403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922140 (or 4922135 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105431403420 its reverse (24304134501), we get a palindrome (129735537921).

The spelling of 105431403420 in words is "one hundred five billion, four hundred thirty-one million, four hundred three thousand, four hundred twenty".