105732500282161 has 9 divisors (see below), whose sum is σ = 105798669259179. Its totient is φ = 105666372682200.

The previous prime is 105732500282113. The next prime is 105732500282183. The reversal of 105732500282161 is 161282005237501.

The square root of 105732500282161 is 10282631.

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

It can be written as a sum of positive squares in only one way, i.e., 20906558272161 + 84825942010000 = 4572369^2 + 9210100^2 .

It is not a de Polignac number, because 105732500282161 - 2¹⁵ = 105732500249393 is a prime.

It is a super-2 number, since 2×105732500282161² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105732500282561) 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, 30549694971 + ... + 30549698431.

Almost surely, 2^{105732500282161} is an apocalyptic number.

105732500282161 is the 10282631-st square number.

105732500282161 is the 5141316-th centered octagonal number.

It is an amenable number.

105732500282161 is a deficient number, since it is larger than the sum of its proper divisors (66168977018).

105732500282161 is an frugal number, since it uses more digits than its factorization.

105732500282161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 105732500282161 in words is "one hundred five trillion, seven hundred thirty-two billion, five hundred million, two hundred eighty-two thousand, one hundred sixty-one".