106782736 has 20 divisors (see below), whose sum is σ = 217781200. Its totient is φ = 50581152.

The previous prime is 106782733. The next prime is 106782769. The reversal of 106782736 is 637287601.

It is a super-2 number, since 2×106782736² = 22805105415291392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106782733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175326 + ... + 175933.

It is an arithmetic number, because the mean of its divisors is an integer number (10889060).

Almost surely, 2^106782736 is an apocalyptic number.

106782736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106782736 is an abundant number, since it is smaller than the sum of its proper divisors (110998464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106782736 is a wasteful number, since it uses less digits than its factorization.

106782736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351286 (or 351280 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 106782736 is about 10333.5732445268. The cubic root of 106782736 is about 474.4243975065.

The spelling of 106782736 in words is "one hundred six million, seven hundred eighty-two thousand, seven hundred thirty-six".