106385057 has 2 divisors, whose sum is σ = 106385058. Its totient is φ = 106385056.

The previous prime is 106385011. The next prime is 106385063. The reversal of 106385057 is 750583601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 35808256 = 8401^2 + 5984^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106385057 is a prime.

It is a super-2 number, since 2×106385057² = 22635560705786498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106325057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53192528 + 53192529.

It is an arithmetic number, because the mean of its divisors is an integer number (53192529).

Almost surely, 2^106385057 is an apocalyptic number.

It is an amenable number.

106385057 is a deficient number, since it is larger than the sum of its proper divisors (1).

106385057 is an equidigital number, since it uses as much as digits as its factorization.

106385057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 106385057 is about 10314.3132102918. The cubic root of 106385057 is about 473.8347162986.

The spelling of 106385057 in words is "one hundred six million, three hundred eighty-five thousand, fifty-seven".