105515215320000 has 560 divisors, whose sum is σ = 360067473025920. Its totient is φ = 27247520256000.

The previous prime is 105515215319977. The next prime is 105515215320071. The reversal of 105515215320000 is 23512515501.

It is a super-2 number, since 2×105515215320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 105515215320000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 474248782 + ... + 474471218.

Almost surely, 2^{105515215320000} is an apocalyptic number.

105515215320000 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 105515215320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180033736512960).

105515215320000 is an abundant number, since it is smaller than the sum of its proper divisors (254552257705920).

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

105515215320000 is an equidigital number, since it uses as much as digits as its factorization.

105515215320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222598 (or 222573 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

Adding to 105515215320000 its reverse (23512515501), we get a palindrome (105538727835501).

The spelling of 105515215320000 in words is "one hundred five trillion, five hundred fifteen billion, two hundred fifteen million, three hundred twenty thousand".