105355135513 has 8 divisors (see below), whose sum is σ = 105599352320. Its totient is φ = 105111198720.

The previous prime is 105355135511. The next prime is 105355135531. The reversal of 105355135513 is 315531553501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105355135513 - 2¹ = 105355135511 is a prime.

It is a super-2 number, since 2×105355135513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105355135511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692956 + ... + 831202.

It is an arithmetic number, because the mean of its divisors is an integer number (13199919040).

Almost surely, 2^105355135513 is an apocalyptic number.

It is an amenable number.

105355135513 is a deficient number, since it is larger than the sum of its proper divisors (244216807).

105355135513 is an equidigital number, since it uses as much as digits as its factorization.

105355135513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140007.

The product of its (nonzero) digits is 84375, while the sum is 37.

The spelling of 105355135513 in words is "one hundred five billion, three hundred fifty-five million, one hundred thirty-five thousand, five hundred thirteen".