109430400 has 96 divisors (see below), whose sum is σ = 360468000. Its totient is φ = 29178880.

The previous prime is 109430351. The next prime is 109430407. The reversal of 109430400 is 4034901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109430407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3901 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (3754875).

Almost surely, 2^109430400 is an apocalyptic number.

109430400 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 109430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180234000).

109430400 is an abundant number, since it is smaller than the sum of its proper divisors (251037600).

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

109430400 is a wasteful number, since it uses less digits than its factorization.

109430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11426 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 109430400 is about 10460.8986229673. The cubic root of 109430400 is about 478.3135259786.

The spelling of 109430400 in words is "one hundred nine million, four hundred thirty thousand, four hundred".