108037293912000 has 1120 divisors, whose sum is σ = 437784625998720. Its totient is φ = 26180156620800.

The previous prime is 108037293911933. The next prime is 108037293912001. The reversal of 108037293912000 is 219392730801.

108037293912000 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 37 + 29 + 391 + 200 + 0 = 666.

108037293912000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108037293912001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 319294909 + ... + 319633091.

It is an arithmetic number, because the mean of its divisors is an integer number (390879130356).

Almost surely, 2^{108037293912000} is an apocalyptic number.

108037293912000 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 108037293912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218892312999360).

108037293912000 is an abundant number, since it is smaller than the sum of its proper divisors (329747332086720).

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

108037293912000 is a wasteful number, since it uses less digits than its factorization.

108037293912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338268 (or 338239 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 108037293912000 in words is "one hundred eight trillion, thirty-seven billion, two hundred ninety-three million, nine hundred twelve thousand".