105200424 has 128 divisors (see below), whose sum is σ = 342316800. Its totient is φ = 29306880.

The previous prime is 105200423. The next prime is 105200443. The reversal of 105200424 is 424002501.

It is a super-2 number, since 2×105200424² = 22134258419559552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105200397 and 105200406.

It is not an unprimeable number, because it can be changed into a prime (105200423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61144 + ... + 62840.

It is an arithmetic number, because the mean of its divisors is an integer number (2674350).

Almost surely, 2^105200424 is an apocalyptic number.

105200424 is a gapful number since it is divisible by the number (14) 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 105200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171158400).

105200424 is an abundant number, since it is smaller than the sum of its proper divisors (237116376).

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

105200424 is a wasteful number, since it uses less digits than its factorization.

105200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1750 counting only the distinct ones).

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

The square root of 105200424 is about 10256.7257933514. The cubic root of 105200424 is about 472.0693783874.

Adding to 105200424 its reverse (424002501), we get a palindrome (529202925).

The spelling of 105200424 in words is "one hundred five million, two hundred thousand, four hundred twenty-four".