108348202227600 has 960 divisors, whose sum is σ = 425964550809600. Its totient is φ = 26063030568960.

The previous prime is 108348202227541. The next prime is 108348202227653. The reversal of 108348202227600 is 6722202843801.

108348202227600 is a `hidden beast` number, since 1 + 0 + 8 + 34 + 8 + 2 + 0 + 2 + 2 + 2 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309579907 + ... + 309929693.

It is an arithmetic number, because the mean of its divisors is an integer number (443713073760).

Almost surely, 2^{108348202227600} is an apocalyptic number.

108348202227600 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 108348202227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212982275404800).

108348202227600 is an abundant number, since it is smaller than the sum of its proper divisors (317616348582000).

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

108348202227600 is a wasteful number, since it uses less digits than its factorization.

108348202227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349909 (or 349892 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 108348202227600 in words is "one hundred eight trillion, three hundred forty-eight billion, two hundred two million, two hundred twenty-seven thousand, six hundred".