105572141 has 2 divisors, whose sum is σ = 105572142. Its totient is φ = 105572140.

The previous prime is 105572123. The next prime is 105572147. The reversal of 105572141 is 141275501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54449641 + 51122500 = 7379^2 + 7150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105572141 is a prime.

It is a super-2 number, since 2×105572141² = 22290953910647762, which contains 22 as substring.

It is equal to p_6063623 and since 105572141 and 6063623 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105572141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105572147) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52786070 + 52786071.

It is an arithmetic number, because the mean of its divisors is an integer number (52786071).

Almost surely, 2^105572141 is an apocalyptic number.

It is an amenable number.

105572141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105572141 is an equidigital number, since it uses as much as digits as its factorization.

105572141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 105572141 is about 10274.8304608884. The cubic root of 105572141 is about 472.6247308417.

The spelling of 105572141 in words is "one hundred five million, five hundred seventy-two thousand, one hundred forty-one".