105523000311 has 32 divisors (see below), whose sum is σ = 147476989440. Its totient is φ = 67064054400.

The previous prime is 105523000301. The next prime is 105523000313. The reversal of 105523000311 is 113000325501.

It is not a de Polignac number, because 105523000311 - 2⁵ = 105523000279 is a prime.

It is a super-2 number, since 2×105523000311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105523000313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697761 + ... + 835413.

It is an arithmetic number, because the mean of its divisors is an integer number (4608655920).

Almost surely, 2^105523000311 is an apocalyptic number.

105523000311 is a deficient number, since it is larger than the sum of its proper divisors (41953989129).

105523000311 is a wasteful number, since it uses less digits than its factorization.

105523000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137847.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 105523000311 its reverse (113000325501), we get a palindrome (218523325812).

The spelling of 105523000311 in words is "one hundred five billion, five hundred twenty-three million, three hundred eleven", and thus it is an aban number.