105340200 has 144 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 24071040.

The previous prime is 105340181. The next prime is 105340223. The reversal of 105340200 is 2043501.

It is a super-2 number, since 2×105340200² = 22193115472080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105340200.

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, 27609 + ... + 31191.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^105340200 is an apocalyptic number.

105340200 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 105340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

105340200 is an abundant number, since it is smaller than the sum of its proper divisors (274635480).

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

105340200 is a wasteful number, since it uses less digits than its factorization.

105340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105340200 is about 10263.5374018902. The cubic root of 105340200 is about 472.2783596981.

Adding to 105340200 its reverse (2043501), we get a palindrome (107383701).

The spelling of 105340200 in words is "one hundred five million, three hundred forty thousand, two hundred".