108312767009208 has 128 divisors (see below), whose sum is σ = 305395043059200. Its totient is φ = 35561232064512.

The previous prime is 108312767009201. The next prime is 108312767009311. The reversal of 108312767009208 is 802900767213801.

It is a happy number.

108312767009208 is a `hidden beast` number, since 108 + 312 + 76 + 70 + 0 + 92 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108312767009201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124706616 + ... + 125572152.

It is an arithmetic number, because the mean of its divisors is an integer number (2385898773900).

Almost surely, 2^{108312767009208} is an apocalyptic number.

108312767009208 is a gapful number since it is divisible by the number (18) 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 108312767009208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152697521529600).

108312767009208 is an abundant number, since it is smaller than the sum of its proper divisors (197082276049992).

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

108312767009208 is a wasteful number, since it uses less digits than its factorization.

108312767009208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874266 (or 874256 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 108312767009208 in words is "one hundred eight trillion, three hundred twelve billion, seven hundred sixty-seven million, nine thousand, two hundred eight".