108045000 has 300 divisors, whose sum is σ = 426578295. Its totient is φ = 24696000.

The previous prime is 108044983. The next prime is 108045017. The reversal of 108045000 is 540801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (108044983) and next prime (108045017).

It can be written as a sum of positive squares in 3 ways, for example, as 24980004 + 83064996 = 4998^2 + 9114^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7350.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 74 ways as a sum of consecutive naturals, for example, 15434997 + ... + 15435003.

Almost surely, 2^108045000 is an apocalyptic number.

108045000 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 108045000

108045000 is an abundant number, since it is smaller than the sum of its proper divisors (318533295).

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

108045000 is an frugal number, since it uses more digits than its factorization.

108045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 108045000 is about 10394.4696834422. The cubic root of 108045000 is about 476.2864481167.

Multiplying 108045000 by its sum of digits (18), we get a 4-th power (1944810000 = 210⁴).

108045000 divided by its sum of digits (18) gives a square (6002500 = 2450²).

Adding to 108045000 its reverse (540801), we get a palindrome (108585801).

The spelling of 108045000 in words is "one hundred eight million, forty-five thousand".