105424400 has 30 divisors (see below), whose sum is σ = 253283082. Its totient is φ = 42169600.

The previous prime is 105424399. The next prime is 105424439. The reversal of 105424400 is 4424501.

It can be written as a sum of positive squares in 3 ways, for example, as 1547536 + 103876864 = 1244^2 + 10192^2 .

It is a super-2 number, since 2×105424400² = 22228608230720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131381 + ... + 132180.

Almost surely, 2^105424400 is an apocalyptic number.

105424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424400 is an abundant number, since it is smaller than the sum of its proper divisors (147858682).

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

105424400 is a wasteful number, since it uses less digits than its factorization.

105424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263579 (or 263568 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 105424400 is about 10267.6384821438. The cubic root of 105424400 is about 472.4041592423.

Adding to 105424400 its reverse (4424501), we get a palindrome (109848901).

The spelling of 105424400 in words is "one hundred five million, four hundred twenty-four thousand, four hundred".