105121573 has 2 divisors, whose sum is σ = 105121574. Its totient is φ = 105121572.

The previous prime is 105121571. The next prime is 105121609. The reversal of 105121573 is 375121501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102454884 + 2666689 = 10122^2 + 1633^2 .

It is a cyclic number.

It is not a de Polignac number, because 105121573 - 2¹ = 105121571 is a prime.

It is a super-2 number, since 2×105121573² = 22101090219988658, which contains 22 as substring.

Together with 105121571, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105121571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52560786 + 52560787.

It is an arithmetic number, because the mean of its divisors is an integer number (52560787).

Almost surely, 2^105121573 is an apocalyptic number.

It is an amenable number.

105121573 is a deficient number, since it is larger than the sum of its proper divisors (1).

105121573 is an equidigital number, since it uses as much as digits as its factorization.

105121573 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105121573 is about 10252.8812048126. The cubic root of 105121573 is about 471.9514053318.

The spelling of 105121573 in words is "one hundred five million, one hundred twenty-one thousand, five hundred seventy-three".