106657841 has 2 divisors, whose sum is σ = 106657842. Its totient is φ = 106657840.

The previous prime is 106657819. The next prime is 106657861. The reversal of 106657841 is 148756601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105657841 + 1000000 = 10279^2 + 1000^2 .

It is a cyclic number.

It is not a de Polignac number, because 106657841 - 2⁶ = 106657777 is a prime.

It is a super-2 number, since 2×106657841² = 22751790093562562, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106657795 and 106657804.

It is not a weakly prime, because it can be changed into another prime (106657861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53328920 + 53328921.

It is an arithmetic number, because the mean of its divisors is an integer number (53328921).

Almost surely, 2^106657841 is an apocalyptic number.

It is an amenable number.

106657841 is a deficient number, since it is larger than the sum of its proper divisors (1).

106657841 is an equidigital number, since it uses as much as digits as its factorization.

106657841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 106657841 is about 10327.5283102977. The cubic root of 106657841 is about 474.2393602568.

The spelling of 106657841 in words is "one hundred six million, six hundred fifty-seven thousand, eight hundred forty-one".