105830400 has 288 divisors, whose sum is σ = 383881680. Its totient is φ = 25559040.

The previous prime is 105830381. The next prime is 105830401. The reversal of 105830400 is 4038501.

It is a super-2 number, since 2×105830400² = 22400147128320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105830401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996774 + ... + 1996826.

Almost surely, 2^105830400 is an apocalyptic number.

105830400 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 105830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

105830400 is an abundant number, since it is smaller than the sum of its proper divisors (278051280).

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

105830400 is a wasteful number, since it uses less digits than its factorization.

105830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105830400 is about 10287.3903396342. The cubic root of 105830400 is about 473.0098077935.

Adding to 105830400 its reverse (4038501), we get a palindrome (109868901).

The spelling of 105830400 in words is "one hundred five million, eight hundred thirty thousand, four hundred".