105921953 has 2 divisors, whose sum is σ = 105921954. Its totient is φ = 105921952.

The previous prime is 105921919. The next prime is 105922001. The reversal of 105921953 is 359129501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57577744 + 48344209 = 7588^2 + 6953^2 .

It is an emirp because it is prime and its reverse (359129501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105921953 - 2²² = 101727649 is a prime.

It is a super-2 number, since 2×105921953² = 22438920254668418, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105921913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52960976 + 52960977.

It is an arithmetic number, because the mean of its divisors is an integer number (52960977).

Almost surely, 2^105921953 is an apocalyptic number.

It is an amenable number.

105921953 is a deficient number, since it is larger than the sum of its proper divisors (1).

105921953 is an equidigital number, since it uses as much as digits as its factorization.

105921953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12150, while the sum is 35.

The square root of 105921953 is about 10291.8391456532. The cubic root of 105921953 is about 473.1461674318.

The spelling of 105921953 in words is "one hundred five million, nine hundred twenty-one thousand, nine hundred fifty-three".