105632560200 has 96 divisors (see below), whose sum is σ = 328405275360. Its totient is φ = 28087449600.

The previous prime is 105632560199. The next prime is 105632560217. The reversal of 105632560200 is 2065236501.

It is a super-2 number, since 2×105632560200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45481 + ... + 461880.

It is an arithmetic number, because the mean of its divisors is an integer number (3420888285).

Almost surely, 2^105632560200 is an apocalyptic number.

105632560200 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 105632560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164202637680).

105632560200 is an abundant number, since it is smaller than the sum of its proper divisors (222772715160).

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

105632560200 is a wasteful number, since it uses less digits than its factorization.

105632560200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507727 (or 507718 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 105632560200 its reverse (2065236501), we get a palindrome (107697796701).

The spelling of 105632560200 in words is "one hundred five billion, six hundred thirty-two million, five hundred sixty thousand, two hundred".