105502135743 has 20 divisors (see below), whose sum is σ = 161445911088. Its totient is φ = 68619273120.

The previous prime is 105502135733. The next prime is 105502135751. The reversal of 105502135743 is 347531205501.

105502135743 is a `hidden beast` number, since 1 + 0 + 550 + 2 + 1 + 35 + 74 + 3 = 666.

It is not a de Polignac number, because 105502135743 - 2⁶ = 105502135679 is a prime.

It is a super-2 number, since 2×105502135743² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105502135698 and 105502135707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105502135733) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15880771 + ... + 15887412.

Almost surely, 2^105502135743 is an apocalyptic number.

105502135743 is a deficient number, since it is larger than the sum of its proper divisors (55943775345).

105502135743 is an equidigital number, since it uses as much as digits as its factorization.

105502135743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31768236 (or 31768227 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 105502135743 in words is "one hundred five billion, five hundred two million, one hundred thirty-five thousand, seven hundred forty-three".