105757321 has 2 divisors, whose sum is σ = 105757322. Its totient is φ = 105757320.

The previous prime is 105757303. The next prime is 105757343. The reversal of 105757321 is 123757501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101284096 + 4473225 = 10064^2 + 2115^2 .

It is a cyclic number.

It is not a de Polignac number, because 105757321 - 2⁷ = 105757193 is a prime.

It is a super-2 number, since 2×105757321² = 22369221890194082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105757621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52878660 + 52878661.

It is an arithmetic number, because the mean of its divisors is an integer number (52878661).

Almost surely, 2^105757321 is an apocalyptic number.

It is an amenable number.

105757321 is a deficient number, since it is larger than the sum of its proper divisors (1).

105757321 is an equidigital number, since it uses as much as digits as its factorization.

105757321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105757321 is about 10283.8378536420. The cubic root of 105757321 is about 472.9009070009.

The spelling of 105757321 in words is "one hundred five million, seven hundred fifty-seven thousand, three hundred twenty-one".