109040400 has 180 divisors, whose sum is σ = 432557632. Its totient is φ = 24917760.

The previous prime is 109040359. The next prime is 109040419. The reversal of 109040400 is 4040901.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23037 + ... + 27363.

Almost surely, 2^109040400 is an apocalyptic number.

109040400 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 109040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216278816).

109040400 is an abundant number, since it is smaller than the sum of its proper divisors (323517232).

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

109040400 is a wasteful number, since it uses less digits than its factorization.

109040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109040400 is about 10442.2411387594. The cubic root of 109040400 is about 477.7446276301.

The spelling of 109040400 in words is "one hundred nine million, forty thousand, four hundred".