105254511440 has 120 divisors (see below), whose sum is σ = 267969601080. Its totient is φ = 38426099712.

The previous prime is 105254511407. The next prime is 105254511449. The reversal of 105254511440 is 44115452501.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 52800686656 + 52453824784 = 229784^2 + 229028^2 .

It is a super-4 number, since 4×105254511440⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105254511397 and 105254511406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105254511449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159544 + ... + 1247016.

It is an arithmetic number, because the mean of its divisors is an integer number (2233080009).

Almost surely, 2^105254511440 is an apocalyptic number.

105254511440 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 105254511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133984800540).

105254511440 is an abundant number, since it is smaller than the sum of its proper divisors (162715089640).

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

105254511440 is a wasteful number, since it uses less digits than its factorization.

105254511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87601 (or 87582 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 105254511440 its reverse (44115452501), we get a palindrome (149369963941).

The spelling of 105254511440 in words is "one hundred five billion, two hundred fifty-four million, five hundred eleven thousand, four hundred forty".