105025301250 has 80 divisors (see below), whose sum is σ = 266782752192. Its totient is φ = 27547560000.

The previous prime is 105025301243. The next prime is 105025301263. The reversal of 105025301250 is 52103520501.

It is a happy number.

It is a super-2 number, since 2×105025301250² (a number of 23 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 105025301250.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 814 + ... + 458313.

Almost surely, 2^105025301250 is an apocalyptic number.

105025301250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105025301250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133391376096).

105025301250 is an abundant number, since it is smaller than the sum of its proper divisors (161757450942).

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

105025301250 is an equidigital number, since it uses as much as digits as its factorization.

105025301250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459213 (or 459198 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 105025301250 its reverse (52103520501), we get a palindrome (157128821751).

The spelling of 105025301250 in words is "one hundred five billion, twenty-five million, three hundred one thousand, two hundred fifty".