105352512511 has 8 divisors (see below), whose sum is σ = 111930909120. Its totient is φ = 98970486048.

The previous prime is 105352512487. The next prime is 105352512521. The reversal of 105352512511 is 115215253501.

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 105352512511 - 2²³ = 105344123903 is a prime.

It is a super-2 number, since 2×105352512511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105352512521) 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, 49091431 + ... + 49093576.

It is an arithmetic number, because the mean of its divisors is an integer number (13991363640).

Almost surely, 2^105352512511 is an apocalyptic number.

105352512511 is a deficient number, since it is larger than the sum of its proper divisors (6578396609).

105352512511 is an equidigital number, since it uses as much as digits as its factorization.

105352512511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98185073.

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 105352512511 in words is "one hundred five billion, three hundred fifty-two million, five hundred twelve thousand, five hundred eleven".