105431503340240 has 80 divisors (see below), whose sum is σ = 305614435674240. Its totient is φ = 32861767272960.

The previous prime is 105431503340221. The next prime is 105431503340347. The reversal of 105431503340240 is 42043305134501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105431503340240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105431503340240.

It is a congruent number.

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, 8557745735 + ... + 8557758054.

It is an arithmetic number, because the mean of its divisors is an integer number (3820180445928).

Almost surely, 2^{105431503340240} is an apocalyptic number.

105431503340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105431503340240 is an abundant number, since it is smaller than the sum of its proper divisors (200182932334000).

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

105431503340240 is a wasteful number, since it uses less digits than its factorization.

105431503340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17115503820 (or 17115503814 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 105431503340240 its reverse (42043305134501), we get a palindrome (147474808474741).

The spelling of 105431503340240 in words is "one hundred five trillion, four hundred thirty-one billion, five hundred three million, three hundred forty thousand, two hundred forty".