108142000 has 80 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 42835200.

The previous prime is 108141997. The next prime is 108142039. The reversal of 108142000 is 241801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277806 + ... + 278194.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^108142000 is an apocalyptic number.

108142000 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 108142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022800).

108142000 is an abundant number, since it is smaller than the sum of its proper divisors (155903600).

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

108142000 is a wasteful number, since it uses less digits than its factorization.

108142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 108142000 is about 10399.1345793773. The cubic root of 108142000 is about 476.4289380259.

Adding to 108142000 its reverse (241801), we get a palindrome (108383801).

The spelling of 108142000 in words is "one hundred eight million, one hundred forty-two thousand".