108000107550720 has 8064 divisors, whose sum is σ = 548615628288000. Its totient is φ = 19865154355200.

The previous prime is 108000107550719. The next prime is 108000107550737. The reversal of 108000107550720 is 27055701000801.

108000107550720 is a `hidden beast` number, since 1 + 0 + 80 + 0 + 0 + 1 + 0 + 7 + 550 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 671 ways as a sum of consecutive naturals, for example, 3483874437105 + ... + 3483874437135.

It is an arithmetic number, because the mean of its divisors is an integer number (68032692000).

Almost surely, 2^{108000107550720} is an apocalyptic number.

108000107550720 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 108000107550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274307814144000).

108000107550720 is an abundant number, since it is smaller than the sum of its proper divisors (440615520737280).

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

108000107550720 is a wasteful number, since it uses less digits than its factorization.

108000107550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 108000107550720 in words is "one hundred eight trillion, one hundred seven million, five hundred fifty thousand, seven hundred twenty".