105010521231200 has 144 divisors (see below), whose sum is σ = 276705587521440. Its totient is φ = 38684792401920.

The previous prime is 105010521231199. The next prime is 105010521231263. The reversal of 105010521231200 is 2132125010501.

It is a super-2 number, since 2×105010521231200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6934589 + ... + 16065788.

It is an arithmetic number, because the mean of its divisors is an integer number (1921566580010).

Almost surely, 2^{105010521231200} is an apocalyptic number.

105010521231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010521231200 is an abundant number, since it is smaller than the sum of its proper divisors (171695066290240).

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

105010521231200 is a wasteful number, since it uses less digits than its factorization.

105010521231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23000849 (or 23000836 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 105010521231200 its reverse (2132125010501), we get a palindrome (107142646241701).

The spelling of 105010521231200 in words is "one hundred five trillion, ten billion, five hundred twenty-one million, two hundred thirty-one thousand, two hundred".