108781920 has 288 divisors, whose sum is σ = 415044000. Its totient is φ = 26597376.

The previous prime is 108781903. The next prime is 108781931. The reversal of 108781920 is 29187801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×108781920² = 23667012237772800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730006 + ... + 730154.

It is an arithmetic number, because the mean of its divisors is an integer number (1441125).

Almost surely, 2^108781920 is an apocalyptic number.

108781920 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 108781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207522000).

108781920 is an abundant number, since it is smaller than the sum of its proper divisors (306262080).

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

108781920 is a wasteful number, since it uses less digits than its factorization.

108781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 108781920 is about 10429.8571418788. The cubic root of 108781920 is about 477.3668314627.

The spelling of 108781920 in words is "one hundred eight million, seven hundred eighty-one thousand, nine hundred twenty".