101407661 has 2 divisors, whose sum is σ = 101407662. Its totient is φ = 101407660.

The previous prime is 101407651. The next prime is 101407711. The reversal of 101407661 is 166704101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94284100 + 7123561 = 9710^2 + 2669^2 .

It is a cyclic number.

It is not a de Polignac number, because 101407661 - 2⁶ = 101407597 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101407661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101407651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50703830 + 50703831.

It is an arithmetic number, because the mean of its divisors is an integer number (50703831).

Almost surely, 2^101407661 is an apocalyptic number.

It is an amenable number.

101407661 is a deficient number, since it is larger than the sum of its proper divisors (1).

101407661 is an equidigital number, since it uses as much as digits as its factorization.

101407661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 101407661 is about 10070.1370894343. The cubic root of 101407661 is about 466.3266711165.

The spelling of 101407661 in words is "one hundred one million, four hundred seven thousand, six hundred sixty-one".