106782953 has 2 divisors, whose sum is σ = 106782954. Its totient is φ = 106782952.

The previous prime is 106782937. The next prime is 106782961. The reversal of 106782953 is 359287601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105124009 + 1658944 = 10253^2 + 1288^2 .

It is a cyclic number.

It is not a de Polignac number, because 106782953 - 2⁴ = 106782937 is a prime.

It is a super-2 number, since 2×106782953² = 22805198102800418, 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 106782953.

It is not a weakly prime, because it can be changed into another prime (106782913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53391476 + 53391477.

It is an arithmetic number, because the mean of its divisors is an integer number (53391477).

Almost surely, 2^106782953 is an apocalyptic number.

It is an amenable number.

106782953 is a deficient number, since it is larger than the sum of its proper divisors (1).

106782953 is an equidigital number, since it uses as much as digits as its factorization.

106782953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 106782953 is about 10333.5837442777. The cubic root of 106782953 is about 474.4247188757.

It can be divided in two parts, 10678 and 2953, that added together give a palindrome (13631).

The spelling of 106782953 in words is "one hundred six million, seven hundred eighty-two thousand, nine hundred fifty-three".