105245323000 has 128 divisors (see below), whose sum is σ = 248595609600. Its totient is φ = 41703312000.

The previous prime is 105245322971. The next prime is 105245323009. The reversal of 105245323000 is 323542501.

105245323000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105245323000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245323009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50427957 + ... + 50430043.

It is an arithmetic number, because the mean of its divisors is an integer number (1942153200).

Almost surely, 2^105245323000 is an apocalyptic number.

105245323000 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 105245323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124297804800).

105245323000 is an abundant number, since it is smaller than the sum of its proper divisors (143350286600).

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

105245323000 is a wasteful number, since it uses less digits than its factorization.

105245323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 105245323000 its reverse (323542501), we get a palindrome (105568865501).

The spelling of 105245323000 in words is "one hundred five billion, two hundred forty-five million, three hundred twenty-three thousand".