105527257311 has 16 divisors (see below), whose sum is σ = 160816592384. Its totient is φ = 60296357664.

The previous prime is 105527257307. The next prime is 105527257333. The reversal of 105527257311 is 113752725501.

It is a happy number.

It is not a de Polignac number, because 105527257311 - 2² = 105527257307 is a prime.

It is a super-2 number, since 2×105527257311² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105527257311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105527257361) 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, 65670 + ... + 464076.

It is an arithmetic number, because the mean of its divisors is an integer number (10051037024).

Almost surely, 2^105527257311 is an apocalyptic number.

105527257311 is a deficient number, since it is larger than the sum of its proper divisors (55289335073).

105527257311 is a wasteful number, since it uses less digits than its factorization.

105527257311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411030.

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 105527257311 in words is "one hundred five billion, five hundred twenty-seven million, two hundred fifty-seven thousand, three hundred eleven".