109028400 has 240 divisors, whose sum is σ = 390704160. Its totient is φ = 25804800.

The previous prime is 109028393. The next prime is 109028417. The reversal of 109028400 is 4820901.

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 (24).

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, 452280 + ... + 452520.

It is an arithmetic number, because the mean of its divisors is an integer number (1627934).

Almost surely, 2^109028400 is an apocalyptic number.

109028400 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 109028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195352080).

109028400 is an abundant number, since it is smaller than the sum of its proper divisors (281675760).

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

109028400 is a wasteful number, since it uses less digits than its factorization.

109028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 109028400 is about 10441.6665336526. Note that the first 3 decimals coincide. The cubic root of 109028400 is about 477.7271015698.

The spelling of 109028400 in words is "one hundred nine million, twenty-eight thousand, four hundred".