108605225782872 has 768 divisors, whose sum is σ = 393181396992000. Its totient is φ = 27122355187200.

The previous prime is 108605225782831. The next prime is 108605225782909. The reversal of 108605225782872 is 278287522506801.

108605225782872 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 0 + 52 + 2 + 578 + 2 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13259088297 + ... + 13259096487.

It is an arithmetic number, because the mean of its divisors is an integer number (511954944000).

Almost surely, 2^{108605225782872} is an apocalyptic number.

108605225782872 is a gapful number since it is divisible by the number (12) 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 108605225782872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196590698496000).

108605225782872 is an abundant number, since it is smaller than the sum of its proper divisors (284576171209128).

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

108605225782872 is a wasteful number, since it uses less digits than its factorization.

108605225782872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 108605225782872 in words is "one hundred eight trillion, six hundred five billion, two hundred twenty-five million, seven hundred eighty-two thousand, eight hundred seventy-two".