105122301200 has 120 divisors (see below), whose sum is σ = 290574110400. Its totient is φ = 35799897600.

The previous prime is 105122301157. The next prime is 105122301217. The reversal of 105122301200 is 2103221501.

It is a happy number.

It is a super-2 number, since 2×105122301200² (a number of 23 digits) contains 22 as substring.

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, 291215 + ... + 543185.

It is an arithmetic number, because the mean of its divisors is an integer number (2421450920).

Almost surely, 2^105122301200 is an apocalyptic number.

105122301200 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 105122301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145287055200).

105122301200 is an abundant number, since it is smaller than the sum of its proper divisors (185451809200).

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

105122301200 is a wasteful number, since it uses less digits than its factorization.

105122301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252145 (or 252134 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 105122301200 its reverse (2103221501), we get a palindrome (107225522701).

The spelling of 105122301200 in words is "one hundred five billion, one hundred twenty-two million, three hundred one thousand, two hundred".