109923840 has 240 divisors, whose sum is σ = 411098688. Its totient is φ = 26984448.

The previous prime is 109923823. The next prime is 109923851. The reversal of 109923840 is 48329901.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 109923795 and 109923804.

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, 299337 + ... + 299703.

Almost surely, 2^109923840 is an apocalyptic number.

109923840 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 109923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205549344).

109923840 is an abundant number, since it is smaller than the sum of its proper divisors (301174848).

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

109923840 is a wasteful number, since it uses less digits than its factorization.

109923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109923840 is about 10484.4570674880. The cubic root of 109923840 is about 479.0313800134.

The spelling of 109923840 in words is "one hundred nine million, nine hundred twenty-three thousand, eight hundred forty".