107838900 has 162 divisors, whose sum is σ = 366532530. Its totient is φ = 26507520.

The previous prime is 107838859. The next prime is 107838917. The reversal of 107838900 is 9838701.

It can be written as a sum of positive squares in 9 ways, for example, as 88284816 + 19554084 = 9396^2 + 4422^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151746 + ... + 152454.

Almost surely, 2^107838900 is an apocalyptic number.

107838900 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 107838900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183266265).

107838900 is an abundant number, since it is smaller than the sum of its proper divisors (258693630).

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

107838900 is a wasteful number, since it uses less digits than its factorization.

107838900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 732 counting only the distinct ones).

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

The square root of 107838900 is about 10384.5510254416. The cubic root of 107838900 is about 475.9834104333.

It can be divided in two parts, 10783 and 8900, that added together give a 9-th power (19683 = 3⁹).

The spelling of 107838900 in words is "one hundred seven million, eight hundred thirty-eight thousand, nine hundred".