106731041 has 2 divisors, whose sum is σ = 106731042. Its totient is φ = 106731040.

The previous prime is 106731019. The next prime is 106731073. The reversal of 106731041 is 140137601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 37258816 = 8335^2 + 6104^2 .

It is a cyclic number.

It is not a de Polignac number, because 106731041 - 2¹⁰ = 106730017 is a prime.

It is a super-2 number, since 2×106731041² = 22783030225887362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106730998 and 106731016.

It is not a weakly prime, because it can be changed into another prime (106731091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53365520 + 53365521.

It is an arithmetic number, because the mean of its divisors is an integer number (53365521).

Almost surely, 2^106731041 is an apocalyptic number.

It is an amenable number.

106731041 is a deficient number, since it is larger than the sum of its proper divisors (1).

106731041 is an equidigital number, since it uses as much as digits as its factorization.

106731041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106731041 is about 10331.0716288292. The cubic root of 106731041 is about 474.3478266771.

Adding to 106731041 its reverse (140137601), we get a palindrome (246868642).

The spelling of 106731041 in words is "one hundred six million, seven hundred thirty-one thousand, forty-one".