105424235440 has 40 divisors (see below), whose sum is σ = 245252459088. Its totient is φ = 42145416960.

The previous prime is 105424235431. The next prime is 105424235467. The reversal of 105424235440 is 44532424501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105424235440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105424235396 and 105424235405.

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, 239182 + ... + 517741.

Almost surely, 2^105424235440 is an apocalyptic number.

105424235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424235440 is an abundant number, since it is smaller than the sum of its proper divisors (139828223648).

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

105424235440 is a wasteful number, since it uses less digits than its factorization.

105424235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758677 (or 758671 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 105424235440 its reverse (44532424501), we get a palindrome (149956659941).

The spelling of 105424235440 in words is "one hundred five billion, four hundred twenty-four million, two hundred thirty-five thousand, four hundred forty".