108438000 has 320 divisors, whose sum is σ = 401117184. Its totient is φ = 24960000.

The previous prime is 108437993. The next prime is 108438013. The reversal of 108438000 is 834801.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2045974 + ... + 2046026.

Almost surely, 2^108438000 is an apocalyptic number.

108438000 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 108438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

108438000 is an abundant number, since it is smaller than the sum of its proper divisors (292679184).

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

108438000 is a wasteful number, since it uses less digits than its factorization.

108438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 108438000 is about 10413.3568074853. The cubic root of 108438000 is about 476.8632265673.

The spelling of 108438000 in words is "one hundred eight million, four hundred thirty-eight thousand".