106382953 has 2 divisors, whose sum is σ = 106382954. Its totient is φ = 106382952.

The previous prime is 106382929. The next prime is 106382971. The reversal of 106382953 is 359283601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54715609 + 51667344 = 7397^2 + 7188^2 .

It is a cyclic number.

It is not a de Polignac number, because 106382953 - 2²¹ = 104285801 is a prime.

It is a super-2 number, since 2×106382953² = 22634665378000418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106382993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53191476 + 53191477.

It is an arithmetic number, because the mean of its divisors is an integer number (53191477).

Almost surely, 2^106382953 is an apocalyptic number.

It is an amenable number.

106382953 is a deficient number, since it is larger than the sum of its proper divisors (1).

106382953 is an equidigital number, since it uses as much as digits as its factorization.

106382953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 106382953 is about 10314.2112155996. The cubic root of 106382953 is about 473.8315925679.

The spelling of 106382953 in words is "one hundred six million, three hundred eighty-two thousand, nine hundred fifty-three".