105255025000000 has 252 divisors, whose sum is σ = 261615153162348. Its totient is φ = 42016000000000.

The previous prime is 105255024999997. The next prime is 105255025000019. The reversal of 105255025000000 is 520552501.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 75396373056 + 105179628626944 = 274584^2 + 10255712^2 .

It is a super-2 number, since 2×105255025000000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13024995960 + ... + 13025004040.

Almost surely, 2^{105255025000000} is an apocalyptic number.

105255025000000 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 105255025000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130807576581174).

105255025000000 is an abundant number, since it is smaller than the sum of its proper divisors (156360128162348).

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

105255025000000 is an frugal number, since it uses more digits than its factorization.

105255025000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

Adding to 105255025000000 its reverse (520552501), we get a palindrome (105255545552501).

The spelling of 105255025000000 in words is "one hundred five trillion, two hundred fifty-five billion, twenty-five million", and thus it is an aban number.