105004340200 has 72 divisors (see below), whose sum is σ = 249945567750. Its totient is φ = 41024807040.

The previous prime is 105004340197. The next prime is 105004340201. The reversal of 105004340200 is 2043400501.

It can be written as a sum of positive squares in 3 ways, for example, as 90652779396 + 14351560804 = 301086^2 + 119798^2 .

It is a super-2 number, since 2×105004340200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105004340201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 227826 + ... + 511774.

Almost surely, 2^105004340200 is an apocalyptic number.

105004340200 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 105004340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124972783875).

105004340200 is an abundant number, since it is smaller than the sum of its proper divisors (144941227550).

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

105004340200 is a wasteful number, since it uses less digits than its factorization.

105004340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284051 (or 283999 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 105004340200 its reverse (2043400501), we get a palindrome (107047740701).

The spelling of 105004340200 in words is "one hundred five billion, four million, three hundred forty thousand, two hundred".