105311303533440 has 96 divisors (see below), whose sum is σ = 363653095033800. Its totient is φ = 28083014274048.

The previous prime is 105311303533421. The next prime is 105311303533529. The reversal of 105311303533440 is 44335303113501.

It is a happy number.

105311303533440 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 1 + 303 + 5 + 3 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105311303533440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105311303533395 and 105311303533404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9141600450 + ... + 9141611969.

Almost surely, 2^{105311303533440} is an apocalyptic number.

105311303533440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311303533440 is an abundant number, since it is smaller than the sum of its proper divisors (258341791500360).

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

105311303533440 is a wasteful number, since it uses less digits than its factorization.

105311303533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283212444 (or 18283212429 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 105311303533440 its reverse (44335303113501), we get a palindrome (149646606646941).

The spelling of 105311303533440 in words is "one hundred five trillion, three hundred eleven billion, three hundred three million, five hundred thirty-three thousand, four hundred forty".