108730944 has 224 divisors, whose sum is σ = 373075200. Its totient is φ = 30412800.

The previous prime is 108730933. The next prime is 108730949. The reversal of 108730944 is 449037801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×108730944² = 23644836366262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108730899 and 108730908.

It is not an unprimeable number, because it can be changed into a prime (108730949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076494 + ... + 1076594.

Almost surely, 2^108730944 is an apocalyptic number.

108730944 is a gapful number since it is divisible by the number (14) 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 108730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

108730944 is an abundant number, since it is smaller than the sum of its proper divisors (264344256).

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

108730944 is a wasteful number, since it uses less digits than its factorization.

108730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 108730944 is about 10427.4131020114. The cubic root of 108730944 is about 477.2922539543.

The spelling of 108730944 in words is "one hundred eight million, seven hundred thirty thousand, nine hundred forty-four".