105302215240000 has 140 divisors (see below), whose sum is σ = 261454898666500. Its totient is φ = 42066100224000.

The previous prime is 105302215239941. The next prime is 105302215240009. The reversal of 105302215240000 is 42512203501.

It can be written as a sum of positive squares in 10 ways, for example, as 98505307400256 + 6796907839744 = 9924984^2 + 2607088^2 .

It is a super-2 number, since 2×105302215240000² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (105302215240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29048326 + ... + 32471674.

It is an arithmetic number, because the mean of its divisors is an integer number (1867534990475).

Almost surely, 2^{105302215240000} is an apocalyptic number.

105302215240000 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 105302215240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130727449333250).

105302215240000 is an abundant number, since it is smaller than the sum of its proper divisors (156152683426500).

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

105302215240000 is an frugal number, since it uses more digits than its factorization.

105302215240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424150 (or 3424125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105302215240000 its reverse (42512203501), we get a palindrome (105344727443501).

The spelling of 105302215240000 in words is "one hundred five trillion, three hundred two billion, two hundred fifteen million, two hundred forty thousand".