109638000 has 120 divisors (see below), whose sum is σ = 382991856. Its totient is φ = 29232000.

The previous prime is 109637959. The next prime is 109638013. The reversal of 109638000 is 836901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14955 + ... + 21045.

Almost surely, 2^109638000 is an apocalyptic number.

109638000 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 109638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191495928).

109638000 is an abundant number, since it is smaller than the sum of its proper divisors (273353856).

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

109638000 is a wasteful number, since it uses less digits than its factorization.

109638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109638000 is about 10470.8165870671. The cubic root of 109638000 is about 478.6158038390.

The spelling of 109638000 in words is "one hundred nine million, six hundred thirty-eight thousand".