106782273 has 16 divisors (see below), whose sum is σ = 170365440. Its totient is φ = 65711952.

The previous prime is 106782257. The next prime is 106782293. The reversal of 106782273 is 372287601.

It is not a de Polignac number, because 106782273 - 2⁴ = 106782257 is a prime.

It is a super-2 number, since 2×106782273² = 22804907654093058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106782293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151761 + ... + 152462.

It is an arithmetic number, because the mean of its divisors is an integer number (10647840).

Almost surely, 2^106782273 is an apocalyptic number.

106782273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106782273 is a deficient number, since it is larger than the sum of its proper divisors (63583167).

106782273 is a wasteful number, since it uses less digits than its factorization.

106782273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304245 (or 304239 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106782273 is about 10333.5508417968. The cubic root of 106782273 is about 474.4237118189.

The spelling of 106782273 in words is "one hundred six million, seven hundred eighty-two thousand, two hundred seventy-three".