105453520000000 has 176 divisors, whose sum is σ = 263504597887440. Its totient is φ = 42181376000000.

The previous prime is 105453519999977. The next prime is 105453520000061. The reversal of 105453520000000 is 25354501.

It can be written as a sum of positive squares in 8 ways, for example, as 44848416034816 + 60605103965184 = 6696896^2 + 7784928^2 .

It is a super-2 number, since 2×105453520000000² (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 a self number, because there is not a number n which added to its sum of digits gives 105453520000000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79340916 + ... + 80659084.

Almost surely, 2^{105453520000000} is an apocalyptic number.

105453520000000 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 105453520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131752298943720).

105453520000000 is an abundant number, since it is smaller than the sum of its proper divisors (158051077887440).

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

105453520000000 is an frugal number, since it uses more digits than its factorization.

105453520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318224 (or 1318176 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 105453520000000 its reverse (25354501), we get a palindrome (105453545354501).

The spelling of 105453520000000 in words is "one hundred five trillion, four hundred fifty-three billion, five hundred twenty million", and thus it is an aban number.