106121261 has 2 divisors, whose sum is σ = 106121262. Its totient is φ = 106121260.

The previous prime is 106121221. The next prime is 106121299. The reversal of 106121261 is 162121601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70241161 + 35880100 = 8381^2 + 5990^2 .

It is a cyclic number.

It is not a de Polignac number, because 106121261 - 2¹⁴ = 106104877 is a prime.

It is a super-2 number, since 2×106121261² = 22523444072460242, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106121221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53060630 + 53060631.

It is an arithmetic number, because the mean of its divisors is an integer number (53060631).

Almost surely, 2^106121261 is an apocalyptic number.

It is an amenable number.

106121261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106121261 is an equidigital number, since it uses as much as digits as its factorization.

106121261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 106121261 is about 10301.5174124980. The cubic root of 106121261 is about 473.4427465883.

Adding to 106121261 its reverse (162121601), we get a palindrome (268242862).

It can be divided in two parts, 1061 and 21261, that added together give a palindrome (22322).

The spelling of 106121261 in words is "one hundred six million, one hundred twenty-one thousand, two hundred sixty-one".