105331661 has 2 divisors, whose sum is σ = 105331662. Its totient is φ = 105331660.

The previous prime is 105331619. The next prime is 105331669. The reversal of 105331661 is 166133501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98208100 + 7123561 = 9910^2 + 2669^2 .

It is a cyclic number.

It is not a de Polignac number, because 105331661 - 2¹⁰ = 105330637 is a prime.

It is a super-2 number, since 2×105331661² = 22189517618037842, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105331661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105331669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52665830 + 52665831.

It is an arithmetic number, because the mean of its divisors is an integer number (52665831).

Almost surely, 2^105331661 is an apocalyptic number.

It is an amenable number.

105331661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105331661 is an equidigital number, since it uses as much as digits as its factorization.

105331661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 105331661 is about 10263.1214062779. The cubic root of 105331661 is about 472.2655982076.

The spelling of 105331661 in words is "one hundred five million, three hundred thirty-one thousand, six hundred sixty-one".