105431640034 has 32 divisors (see below), whose sum is σ = 190440881280. Its totient is φ = 42764464512.

The previous prime is 105431639987. The next prime is 105431640047. The reversal of 105431640034 is 430046134501.

It is a happy number.

It is a super-2 number, since 2×105431640034² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105431639978 and 105431640005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73822 + ... + 465094.

It is an arithmetic number, because the mean of its divisors is an integer number (5951277540).

Almost surely, 2^105431640034 is an apocalyptic number.

105431640034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105431640034 is a deficient number, since it is larger than the sum of its proper divisors (85009241246).

105431640034 is a wasteful number, since it uses less digits than its factorization.

105431640034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392314.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 105431640034 its reverse (430046134501), we get a palindrome (535477774535).

The spelling of 105431640034 in words is "one hundred five billion, four hundred thirty-one million, six hundred forty thousand, thirty-four".