109830400 has 81 divisors (see below), whose sum is σ = 273938413. Its totient is φ = 43596800.

The previous prime is 109830377. The next prime is 109830419. The reversal of 109830400 is 4038901.

The square root of 109830400 is 10480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39538944 + 70291456 = 6288^2 + 8384^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 838335 + ... + 838465.

Almost surely, 2^109830400 is an apocalyptic number.

109830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109830400 is the 10480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109830400

109830400 is an abundant number, since it is smaller than the sum of its proper divisors (164108013).

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

109830400 is an frugal number, since it uses more digits than its factorization.

109830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 109830400 is about 478.8956090985.

Multiplying 109830400 by its sum of digits (25), we get a square (2745760000 = 52400²).

109830400 divided by its sum of digits (25) gives a square (4393216 = 2096²).

The spelling of 109830400 in words is "one hundred nine million, eight hundred thirty thousand, four hundred".