108237542112 has 576 divisors, whose sum is σ = 377901748224. Its totient is φ = 29829980160.

The previous prime is 108237542111. The next prime is 108237542143. The reversal of 108237542112 is 211245732801.

108237542112 is a `hidden beast` number, since 1 + 0 + 82 + 37 + 542 + 1 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108237542111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 449118312 + ... + 449118552.

It is an arithmetic number, because the mean of its divisors is an integer number (656079424).

Almost surely, 2^108237542112 is an apocalyptic number.

108237542112 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 108237542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188950874112).

108237542112 is an abundant number, since it is smaller than the sum of its proper divisors (269664206112).

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

108237542112 is a wasteful number, since it uses less digits than its factorization.

108237542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 108237542112 in words is "one hundred eight billion, two hundred thirty-seven million, five hundred forty-two thousand, one hundred twelve".