108145800 has 192 divisors, whose sum is σ = 425865600. Its totient is φ = 24710400.

The previous prime is 108145799. The next prime is 108145831. The reversal of 108145800 is 8541801.

108145800 is a `hidden beast` number, since 1 + 0 + 81 + 4 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36370 + ... + 39230.

It is an arithmetic number, because the mean of its divisors is an integer number (2218050).

Almost surely, 2^108145800 is an apocalyptic number.

108145800 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 108145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212932800).

108145800 is an abundant number, since it is smaller than the sum of its proper divisors (317719800).

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

108145800 is a wasteful number, since it uses less digits than its factorization.

108145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 108145800 is about 10399.3172852837. The cubic root of 108145800 is about 476.4345183701.

The spelling of 108145800 in words is "one hundred eight million, one hundred forty-five thousand, eight hundred".