101964361 has 2 divisors, whose sum is σ = 101964362. Its totient is φ = 101964360.

The previous prime is 101964349. The next prime is 101964371. The reversal of 101964361 is 163469101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84989961 + 16974400 = 9219^2 + 4120^2 .

It is a cyclic number.

It is not a de Polignac number, because 101964361 - 2¹¹ = 101962313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101964371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50982180 + 50982181.

It is an arithmetic number, because the mean of its divisors is an integer number (50982181).

Almost surely, 2^101964361 is an apocalyptic number.

It is an amenable number.

101964361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101964361 is an equidigital number, since it uses as much as digits as its factorization.

101964361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 101964361 is about 10097.7403908003. The cubic root of 101964361 is about 467.1784491358.

The spelling of 101964361 in words is "one hundred one million, nine hundred sixty-four thousand, three hundred sixty-one".