105425200 has 60 divisors (see below), whose sum is σ = 254280600. Its totient is φ = 42004480.

The previous prime is 105425197. The next prime is 105425219. The reversal of 105425200 is 2524501.

It is a super-2 number, since 2×105425200² = 22228945590080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179307 + ... + 179893.

It is an arithmetic number, because the mean of its divisors is an integer number (4238010).

Almost surely, 2^105425200 is an apocalyptic number.

105425200 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 105425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127140300).

105425200 is an abundant number, since it is smaller than the sum of its proper divisors (148855400).

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

105425200 is a wasteful number, since it uses less digits than its factorization.

105425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 105425200 is about 10267.6774394212. The cubic root of 105425200 is about 472.4053541661.

Adding to 105425200 its reverse (2524501), we get a palindrome (107949701).

It can be divided in two parts, 105425 and 200, that added together give a square (105625 = 325²).

The spelling of 105425200 in words is "one hundred five million, four hundred twenty-five thousand, two hundred".