105145520203000 has 128 divisors (see below), whose sum is σ = 252199484409600. Its totient is φ = 41006679168000.

The previous prime is 105145520202893. The next prime is 105145520203007. The reversal of 105145520203000 is 302025541501.

It is a super-2 number, since 2×105145520203000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105145520203000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145520203007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64674081 + ... + 66279919.

It is an arithmetic number, because the mean of its divisors is an integer number (1970308471950).

Almost surely, 2^{105145520203000} is an apocalyptic number.

105145520203000 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 105145520203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126099742204800).

105145520203000 is an abundant number, since it is smaller than the sum of its proper divisors (147053964206600).

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

105145520203000 is a wasteful number, since it uses less digits than its factorization.

105145520203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607498 (or 1607484 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 105145520203000 its reverse (302025541501), we get a palindrome (105447545744501).

The spelling of 105145520203000 in words is "one hundred five trillion, one hundred forty-five billion, five hundred twenty million, two hundred three thousand".