100782161 has 2 divisors, whose sum is σ = 100782162. Its totient is φ = 100782160.

The previous prime is 100782139. The next prime is 100782167. The reversal of 100782161 is 161287001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67650625 + 33131536 = 8225^2 + 5756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100782161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100782161.

It is not a weakly prime, because it can be changed into another prime (100782167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50391080 + 50391081.

It is an arithmetic number, because the mean of its divisors is an integer number (50391081).

Almost surely, 2^100782161 is an apocalyptic number.

It is an amenable number.

100782161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100782161 is an equidigital number, since it uses as much as digits as its factorization.

100782161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 100782161 is about 10039.0318756342. The cubic root of 100782161 is about 465.3658984639.

The spelling of 100782161 in words is "one hundred million, seven hundred eighty-two thousand, one hundred sixty-one".