105376529 has 2 divisors, whose sum is σ = 105376530. Its totient is φ = 105376528.

The previous prime is 105376511. The next prime is 105376541. The reversal of 105376529 is 925673501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83539600 + 21836929 = 9140^2 + 4673^2 .

It is an emirp because it is prime and its reverse (925673501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105376529 - 2¹² = 105372433 is a prime.

It is a super-2 number, since 2×105376529² = 22208425728175682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105376492 and 105376501.

It is not a weakly prime, because it can be changed into another prime (105376429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52688264 + 52688265.

It is an arithmetic number, because the mean of its divisors is an integer number (52688265).

Almost surely, 2^105376529 is an apocalyptic number.

It is an amenable number.

105376529 is a deficient number, since it is larger than the sum of its proper divisors (1).

105376529 is an equidigital number, since it uses as much as digits as its factorization.

105376529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 105376529 is about 10265.3070582423. The cubic root of 105376529 is about 472.3326454900.

The spelling of 105376529 in words is "one hundred five million, three hundred seventy-six thousand, five hundred twenty-nine".