106017953 has 2 divisors, whose sum is σ = 106017954. Its totient is φ = 106017952.

The previous prime is 106017937. The next prime is 106017959. The reversal of 106017953 is 359710601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87759424 + 18258529 = 9368^2 + 4273^2 .

It is an emirp because it is prime and its reverse (359710601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106017953 - 2⁴ = 106017937 is a prime.

It is a super-2 number, since 2×106017953² = 22479612716620418, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106017959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53008976 + 53008977.

It is an arithmetic number, because the mean of its divisors is an integer number (53008977).

Almost surely, 2^106017953 is an apocalyptic number.

It is an amenable number.

106017953 is a deficient number, since it is larger than the sum of its proper divisors (1).

106017953 is an equidigital number, since it uses as much as digits as its factorization.

106017953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 106017953 is about 10296.5019788276. The cubic root of 106017953 is about 473.2890660953.

The spelling of 106017953 in words is "one hundred six million, seventeen thousand, nine hundred fifty-three".