105438532369 has 9 divisors (see below), whose sum is σ = 109209470097. Its totient is φ = 101793628944.

The previous prime is 105438532351. The next prime is 105438532403. The reversal of 105438532369 is 963235834501.

The square root of 105438532369 is 324713.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7038371025 + 98400161344 = 83895^2 + 313688^2 .

It is not a de Polignac number, because 105438532369 - 2⁵ = 105438532337 is a prime.

It is a super-2 number, since 2×105438532369² (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 (105438530369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9411079 + ... + 9422275.

Almost surely, 2^105438532369 is an apocalyptic number.

105438532369 is the 324713-rd square number.

105438532369 is the 162357-th centered octagonal number.

It is an amenable number.

105438532369 is a deficient number, since it is larger than the sum of its proper divisors (3770937728).

105438532369 is an frugal number, since it uses more digits than its factorization.

105438532369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22452 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 105438532369 by its sum of digits (49), we get a square (5166488086081 = 2272991²).

The spelling of 105438532369 in words is "one hundred five billion, four hundred thirty-eight million, five hundred thirty-two thousand, three hundred sixty-nine".