105538897 has 2 divisors, whose sum is σ = 105538898. Its totient is φ = 105538896.

The previous prime is 105538891. The next prime is 105538903. The reversal of 105538897 is 798835501.

It is a balanced prime because it is at equal distance from previous prime (105538891) and next prime (105538903).

It can be written as a sum of positive squares in only one way, i.e., 90554256 + 14984641 = 9516^2 + 3871^2 .

It is a cyclic number.

It is not a de Polignac number, because 105538897 - 2³ = 105538889 is a prime.

It is a super-2 number, since 2×105538897² = 22276917559953218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105538891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52769448 + 52769449.

It is an arithmetic number, because the mean of its divisors is an integer number (52769449).

Almost surely, 2^105538897 is an apocalyptic number.

It is an amenable number.

105538897 is a deficient number, since it is larger than the sum of its proper divisors (1).

105538897 is an equidigital number, since it uses as much as digits as its factorization.

105538897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 105538897 is about 10273.2125939260. The cubic root of 105538897 is about 472.5751167866.

The spelling of 105538897 in words is "one hundred five million, five hundred thirty-eight thousand, eight hundred ninety-seven".