105525263523 has 8 divisors (see below), whose sum is σ = 140702496448. Its totient is φ = 70349103144.

The previous prime is 105525263509. The next prime is 105525263567. The reversal of 105525263523 is 325362525501.

It is a happy number.

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

It is not a de Polignac number, because 105525263523 - 2⁸ = 105525263267 is a prime.

It is a super-2 number, since 2×105525263523² (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 (105525263573) 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 7 ways as a sum of consecutive naturals, for example, 361 + ... + 459402.

It is an arithmetic number, because the mean of its divisors is an integer number (17587812056).

Almost surely, 2^105525263523 is an apocalyptic number.

105525263523 is a deficient number, since it is larger than the sum of its proper divisors (35177232925).

105525263523 is an equidigital number, since it uses as much as digits as its factorization.

105525263523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536273.

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 105525263523 in words is "one hundred five billion, five hundred twenty-five million, two hundred sixty-three thousand, five hundred twenty-three".