108634338720 has 288 divisors, whose sum is σ = 383976028800. Its totient is φ = 27935373312.

The previous prime is 108634338719. The next prime is 108634338727. The reversal of 108634338720 is 27833436801.

108634338720 is a `hidden beast` number, since 1 + 0 + 8 + 634 + 3 + 3 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (108634338727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60926949 + ... + 60928731.

It is an arithmetic number, because the mean of its divisors is an integer number (1333250100).

Almost surely, 2^108634338720 is an apocalyptic number.

108634338720 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 108634338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191988014400).

108634338720 is an abundant number, since it is smaller than the sum of its proper divisors (275341690080).

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

108634338720 is a wasteful number, since it uses less digits than its factorization.

108634338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 108634338720 in words is "one hundred eight billion, six hundred thirty-four million, three hundred thirty-eight thousand, seven hundred twenty".