101964781 has 2 divisors, whose sum is σ = 101964782. Its totient is φ = 101964780.

The previous prime is 101964683. The next prime is 101964799. The reversal of 101964781 is 187469101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91298025 + 10666756 = 9555^2 + 3266^2 .

It is an emirp because it is prime and its reverse (187469101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101964781 is a prime.

It is a super-2 number, since 2×101964781² = 20793633128755922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101964781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101964281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50982390 + 50982391.

It is an arithmetic number, because the mean of its divisors is an integer number (50982391).

Almost surely, 2^101964781 is an apocalyptic number.

It is an amenable number.

101964781 is a deficient number, since it is larger than the sum of its proper divisors (1).

101964781 is an equidigital number, since it uses as much as digits as its factorization.

101964781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 101964781 is about 10097.7611875108. The cubic root of 101964781 is about 467.1790905844.

The spelling of 101964781 in words is "one hundred one million, nine hundred sixty-four thousand, seven hundred eighty-one".