107838720 has 432 divisors, whose sum is σ = 436205952. Its totient is φ = 24330240.

The previous prime is 107838671. The next prime is 107838721. The reversal of 107838720 is 27838701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107838721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914542 + ... + 2914578.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^107838720 is an apocalyptic number.

107838720 is a gapful number since it is divisible by the number (10) 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 107838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218102976).

107838720 is an abundant number, since it is smaller than the sum of its proper divisors (328367232).

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

107838720 is a wasteful number, since it uses less digits than its factorization.

107838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107838720 is about 10384.5423587176. The cubic root of 107838720 is about 475.9831456029.

It can be divided in two parts, 10783 and 8720, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 107838720 in words is "one hundred seven million, eight hundred thirty-eight thousand, seven hundred twenty".