107782752 has 144 divisors (see below), whose sum is σ = 359214912. Its totient is φ = 27982080.

The previous prime is 107782751. The next prime is 107782777. The reversal of 107782752 is 257287701.

It is a self number, because there is not a number n which added to its sum of digits gives 107782752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107782751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50703 + ... + 52785.

It is an arithmetic number, because the mean of its divisors is an integer number (2494548).

Almost surely, 2^107782752 is an apocalyptic number.

107782752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179607456).

107782752 is an abundant number, since it is smaller than the sum of its proper divisors (251432160).

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

107782752 is a wasteful number, since it uses less digits than its factorization.

107782752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 107782752 is about 10381.8472344761. The cubic root of 107782752 is about 475.9007867041.

It can be divided in two parts, 10778 and 2752, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 107782752 in words is "one hundred seven million, seven hundred eighty-two thousand, seven hundred fifty-two".