105163355521 has 9 divisors (see below), whose sum is σ = 122335523649. Its totient is φ = 90138073284.

The previous prime is 105163355519. The next prime is 105163355567. The reversal of 105163355521 is 125553361501.

The square root of 105163355521 is 324289.

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

It is not a de Polignac number, because 105163355521 - 2¹ = 105163355519 is a prime.

It is a super-2 number, since 2×105163355521² (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 (105163355581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2246860 + ... + 2293186.

It is an arithmetic number, because the mean of its divisors is an integer number (13592835961).

Almost surely, 2^105163355521 is an apocalyptic number.

105163355521 is the 324289-th square number.

105163355521 is the 162145-th centered octagonal number.

It is an amenable number.

105163355521 is a deficient number, since it is larger than the sum of its proper divisors (17172168128).

105163355521 is an frugal number, since it uses more digits than its factorization.

105163355521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92668 (or 46334 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 105163355521 in words is "one hundred five billion, one hundred sixty-three million, three hundred fifty-five thousand, five hundred twenty-one".