105945849 has 27 divisors (see below), whose sum is σ = 158529423. Its totient is φ = 68180832.

The previous prime is 105945841. The next prime is 105945859. The reversal of 105945849 is 948549501.

The square root of 105945849 is 10293.

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

105945849 is a `hidden beast` number, since 1 + 0 + 594 + 58 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60140025 + 45805824 = 7755^2 + 6768^2 .

It is not a de Polignac number, because 105945849 - 2³ = 105945841 is a prime.

It is a super-2 number, since 2×105945849² = 22449045840661602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105945841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1451277 + ... + 1451349.

Almost surely, 2^105945849 is an apocalyptic number.

105945849 is the 10293-rd square number.

105945849 is the 5147-th centered octagonal number.

It is an amenable number.

105945849 is a deficient number, since it is larger than the sum of its proper divisors (52583574).

105945849 is an frugal number, since it uses more digits than its factorization.

105945849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 105945849 is about 473.1817453593.

The spelling of 105945849 in words is "one hundred five million, nine hundred forty-five thousand, eight hundred forty-nine".