108175226880 has 768 divisors, whose sum is σ = 423890288640. Its totient is φ = 22988980224.

The previous prime is 108175226827. The next prime is 108175226927. The reversal of 108175226880 is 88622571801.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 464271244 + ... + 464271476.

It is an arithmetic number, because the mean of its divisors is an integer number (551940480).

Almost surely, 2^108175226880 is an apocalyptic number.

108175226880 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 108175226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211945144320).

108175226880 is an abundant number, since it is smaller than the sum of its proper divisors (315715061760).

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

108175226880 is a wasteful number, since it uses less digits than its factorization.

108175226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 108175226880 in words is "one hundred eight billion, one hundred seventy-five million, two hundred twenty-six thousand, eight hundred eighty".