105535240645 has 16 divisors (see below), whose sum is σ = 127551352320. Its totient is φ = 83823015744.

The previous prime is 105535240621. The next prime is 105535240649. The reversal of 105535240645 is 546042535501.

It is a cyclic number.

It is not a de Polignac number, because 105535240645 - 2¹⁷ = 105535109573 is a prime.

It is a super-2 number, since 2×105535240645² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535240598 and 105535240607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535240649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934924 + ... + 1041706.

It is an arithmetic number, because the mean of its divisors is an integer number (7971959520).

Almost surely, 2^105535240645 is an apocalyptic number.

It is an amenable number.

105535240645 is a deficient number, since it is larger than the sum of its proper divisors (22016111675).

105535240645 is a wasteful number, since it uses less digits than its factorization.

105535240645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108204.

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 105535240645 in words is "one hundred five billion, five hundred thirty-five million, two hundred forty thousand, six hundred forty-five".