100782133 has 2 divisors, whose sum is σ = 100782134. Its totient is φ = 100782132.

The previous prime is 100782119. The next prime is 100782139. The reversal of 100782133 is 331287001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66699889 + 34082244 = 8167^2 + 5838^2 .

It is a cyclic number.

It is not a de Polignac number, because 100782133 - 2²¹ = 98684981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100782098 and 100782107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100782139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50391066 + 50391067.

It is an arithmetic number, because the mean of its divisors is an integer number (50391067).

Almost surely, 2^100782133 is an apocalyptic number.

It is an amenable number.

100782133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100782133 is an equidigital number, since it uses as much as digits as its factorization.

100782133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100782133 is about 10039.0304810773. The cubic root of 100782133 is about 465.3658553668.

The spelling of 100782133 in words is "one hundred million, seven hundred eighty-two thousand, one hundred thirty-three".