108400500 has 288 divisors, whose sum is σ = 393513120. Its totient is φ = 24883200.

The previous prime is 108400499. The next prime is 108400511. The reversal of 108400500 is 5004801.

It can be written as a sum of positive squares in 16 ways, for example, as 71166096 + 37234404 = 8436^2 + 6102^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 994446 + ... + 994554.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 2^108400500 is an apocalyptic number.

108400500 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 108400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

108400500 is an abundant number, since it is smaller than the sum of its proper divisors (285112620).

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

108400500 is a wasteful number, since it uses less digits than its factorization.

108400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

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

The square root of 108400500 is about 10411.5560796646. The cubic root of 108400500 is about 476.8082506586.

It can be divided in two parts, 108400 and 500, that added together give a square (108900 = 330²).

The spelling of 108400500 in words is "one hundred eight million, four hundred thousand, five hundred".