108738316050 has 384 divisors, whose sum is σ = 341606135808. Its totient is φ = 22277376000.

The previous prime is 108738316039. The next prime is 108738316067. The reversal of 108738316050 is 50613837801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108738315993 and 108738316011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185243857 + ... + 185244443.

It is an arithmetic number, because the mean of its divisors is an integer number (889599312).

Almost surely, 2^108738316050 is an apocalyptic number.

108738316050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108738316050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170803067904).

108738316050 is an abundant number, since it is smaller than the sum of its proper divisors (232867819758).

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

108738316050 is a wasteful number, since it uses less digits than its factorization.

108738316050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 108738316050 in words is "one hundred eight billion, seven hundred thirty-eight million, three hundred sixteen thousand, fifty".