108134400 has 216 divisors, whose sum is σ = 390068784. Its totient is φ = 26214400.

The previous prime is 108134393. The next prime is 108134407. The reversal of 108134400 is 4431801.

It is an interprime number because it is at equal distance from previous prime (108134393) and next prime (108134407).

It is not an unprimeable number, because it can be changed into a prime (108134407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9830395 + ... + 9830405.

It is an arithmetic number, because the mean of its divisors is an integer number (1805874).

Almost surely, 2^108134400 is an apocalyptic number.

108134400 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 108134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195034392).

108134400 is an abundant number, since it is smaller than the sum of its proper divisors (281934384).

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

108134400 is an frugal number, since it uses more digits than its factorization.

108134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 108134400 is about 10398.7691579340. The cubic root of 108134400 is about 476.4177769452.

The spelling of 108134400 in words is "one hundred eight million, one hundred thirty-four thousand, four hundred".