108705171960 has 1920 divisors, whose sum is σ = 516213181440. Its totient is φ = 19856793600.

The previous prime is 108705171947. The next prime is 108705172001. The reversal of 108705171960 is 69171507801.

108705171960 is a `hidden beast` number, since 1 + 0 + 8 + 70 + 517 + 1 + 9 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1531058725 + ... + 1531058795.

It is an arithmetic number, because the mean of its divisors is an integer number (268861032).

Almost surely, 2^108705171960 is an apocalyptic number.

108705171960 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 108705171960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258106590720).

108705171960 is an abundant number, since it is smaller than the sum of its proper divisors (407508009480).

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

108705171960 is a wasteful number, since it uses less digits than its factorization.

108705171960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 108705171960 in words is "one hundred eight billion, seven hundred five million, one hundred seventy-one thousand, nine hundred sixty".