107910819828 has 288 divisors, whose sum is σ = 349952698368. Its totient is φ = 27321753600.

The previous prime is 107910819761. The next prime is 107910819829. The reversal of 107910819828 is 828918019701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107910819829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4902768 + ... + 4924728.

It is an arithmetic number, because the mean of its divisors is an integer number (1215113536).

Almost surely, 2^107910819828 is an apocalyptic number.

107910819828 is a gapful number since it is divisible by the number (18) 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 107910819828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174976349184).

107910819828 is an abundant number, since it is smaller than the sum of its proper divisors (242041878540).

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

107910819828 is a wasteful number, since it uses less digits than its factorization.

107910819828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22063 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 107910819828 in words is "one hundred seven billion, nine hundred ten million, eight hundred nineteen thousand, eight hundred twenty-eight".