106782129 has 12 divisors (see below), whose sum is σ = 154623300. Its totient is φ = 71011584.

The previous prime is 106782127. The next prime is 106782131. The reversal of 106782129 is 921287601.

It is an interprime number because it is at equal distance from previous prime (106782127) and next prime (106782131).

It can be written as a sum of positive squares in 2 ways, for example, as 56655729 + 50126400 = 7527^2 + 7080^2 .

It is not a de Polignac number, because 106782129 - 2¹ = 106782127 is a prime.

It is a super-2 number, since 2×106782129² = 22804846147545282, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106782093 and 106782102.

It is not an unprimeable number, because it can be changed into a prime (106782127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10824 + ... + 18185.

It is an arithmetic number, because the mean of its divisors is an integer number (12885275).

Almost surely, 2^106782129 is an apocalyptic number.

It is an amenable number.

106782129 is a deficient number, since it is larger than the sum of its proper divisors (47841171).

106782129 is a wasteful number, since it uses less digits than its factorization.

106782129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424 (or 29421 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106782129 is about 10333.5438741992. The cubic root of 106782129 is about 474.4234985592.

The spelling of 106782129 in words is "one hundred six million, seven hundred eighty-two thousand, one hundred twenty-nine".