105563137 has 2 divisors, whose sum is σ = 105563138. Its totient is φ = 105563136.

The previous prime is 105563119. The next prime is 105563141. The reversal of 105563137 is 731365501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105493441 + 69696 = 10271^2 + 264^2 .

It is a cyclic number.

It is not a de Polignac number, because 105563137 - 2²³ = 97174529 is a prime.

It is a super-2 number, since 2×105563137² = 22287151786561538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105563099 and 105563108.

It is not a weakly prime, because it can be changed into another prime (105563177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52781568 + 52781569.

It is an arithmetic number, because the mean of its divisors is an integer number (52781569).

Almost surely, 2^105563137 is an apocalyptic number.

It is an amenable number.

105563137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105563137 is an equidigital number, since it uses as much as digits as its factorization.

105563137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 105563137 is about 10274.3922934644. The cubic root of 105563137 is about 472.6112941085.

The spelling of 105563137 in words is "one hundred five million, five hundred sixty-three thousand, one hundred thirty-seven".