108102732192 has 720 divisors, whose sum is σ = 401415166152. Its totient is φ = 28287221760.

The previous prime is 108102732191. The next prime is 108102732197. The reversal of 108102732192 is 291237201801.

It can be written as a sum of positive squares in 4 ways, for example, as 67764419856 + 40338312336 = 260316^2 + 200844^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108102732191) 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 119 ways as a sum of consecutive naturals, for example, 384707092 + ... + 384707372.

Almost surely, 2^108102732192 is an apocalyptic number.

108102732192 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 108102732192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200707583076).

108102732192 is an abundant number, since it is smaller than the sum of its proper divisors (293312433960).

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

108102732192 is a wasteful number, since it uses less digits than its factorization.

108102732192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 108102732192 its reverse (291237201801), we get a palindrome (399339933993).

The spelling of 108102732192 in words is "one hundred eight billion, one hundred two million, seven hundred thirty-two thousand, one hundred ninety-two".