105513200 has 120 divisors (see below), whose sum is σ = 277044768. Its totient is φ = 38384640.

The previous prime is 105513197. The next prime is 105513209. The reversal of 105513200 is 2315501.

It is a super-2 number, since 2×105513200² = 22266070748480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513209) 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, 535502 + ... + 535698.

Almost surely, 2^105513200 is an apocalyptic number.

105513200 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 105513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

105513200 is an abundant number, since it is smaller than the sum of its proper divisors (171531568).

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

105513200 is a wasteful number, since it uses less digits than its factorization.

105513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105513200 is about 10271.9618379353. The cubic root of 105513200 is about 472.5367588957.

Adding to 105513200 its reverse (2315501), we get a palindrome (107828701).

The spelling of 105513200 in words is "one hundred five million, five hundred thirteen thousand, two hundred".