105131573 has 2 divisors, whose sum is σ = 105131574. Its totient is φ = 105131572.

The previous prime is 105131567. The next prime is 105131599. The reversal of 105131573 is 375131501.

It is an a-pointer prime, because the next prime (105131599) can be obtained adding 105131573 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96963409 + 8168164 = 9847^2 + 2858^2 .

It is a cyclic number.

It is not a de Polignac number, because 105131573 - 2¹⁰ = 105130549 is a prime.

It is a super-2 number, since 2×105131573² = 22105295282908658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105131563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52565786 + 52565787.

It is an arithmetic number, because the mean of its divisors is an integer number (52565787).

Almost surely, 2^105131573 is an apocalyptic number.

It is an amenable number.

105131573 is a deficient number, since it is larger than the sum of its proper divisors (1).

105131573 is an equidigital number, since it uses as much as digits as its factorization.

105131573 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 105131573 is about 10253.3688610134. The cubic root of 105131573 is about 471.9663701142.

The spelling of 105131573 in words is "one hundred five million, one hundred thirty-one thousand, five hundred seventy-three".