105242400 has 216 divisors, whose sum is σ = 380225664. Its totient is φ = 27379200.

The previous prime is 105242383. The next prime is 105242477. The reversal of 105242400 is 4242501.

It is a super-2 number, since 2×105242400² = 22151925515520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338245 + ... + 338555.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 2^105242400 is an apocalyptic number.

105242400 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 105242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832).

105242400 is an abundant number, since it is smaller than the sum of its proper divisors (274983264).

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

105242400 is a wasteful number, since it uses less digits than its factorization.

105242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 105242400 is about 10258.7718563189. The cubic root of 105242400 is about 472.1321568076.

Adding to 105242400 its reverse (4242501), we get a palindrome (109484901).

The spelling of 105242400 in words is "one hundred five million, two hundred forty-two thousand, four hundred".