105263129 has 2 divisors, whose sum is σ = 105263130. Its totient is φ = 105263128.

The previous prime is 105263117. The next prime is 105263143. The reversal of 105263129 is 921362501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103632400 + 1630729 = 10180^2 + 1277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105263129 is a prime.

It is a super-2 number, since 2×105263129² = 22160652653741282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105263149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52631564 + 52631565.

It is an arithmetic number, because the mean of its divisors is an integer number (52631565).

Almost surely, 2^105263129 is an apocalyptic number.

It is an amenable number.

105263129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105263129 is an equidigital number, since it uses as much as digits as its factorization.

105263129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 105263129 is about 10259.7821126962. The cubic root of 105263129 is about 472.1631525057.

The spelling of 105263129 in words is "one hundred five million, two hundred sixty-three thousand, one hundred twenty-nine".