108337252905840 has 640 divisors, whose sum is σ = 405162313666560. Its totient is φ = 23432210841600.

The previous prime is 108337252905829. The next prime is 108337252905841. The reversal of 108337252905840 is 48509252733801.

It is a super-2 number, since 2×108337252905840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108337252905841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337306125 + ... + 337627155.

It is an arithmetic number, because the mean of its divisors is an integer number (633066115104).

Almost surely, 2^{108337252905840} is an apocalyptic number.

108337252905840 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 108337252905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202581156833280).

108337252905840 is an abundant number, since it is smaller than the sum of its proper divisors (296825060760720).

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

108337252905840 is a wasteful number, since it uses less digits than its factorization.

108337252905840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321241 (or 321235 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 108337252905840 in words is "one hundred eight trillion, three hundred thirty-seven billion, two hundred fifty-two million, nine hundred five thousand, eight hundred forty".