105300542561240 has 128 divisors (see below), whose sum is σ = 256348121137920. Its totient is φ = 38697927206400.

The previous prime is 105300542561239. The next prime is 105300542561273. The reversal of 105300542561240 is 42165245003501.

It is a super-2 number, since 2×105300542561240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105300542561194 and 105300542561203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421395935 + ... + 421645745.

It is an arithmetic number, because the mean of its divisors is an integer number (2002719696390).

Almost surely, 2^{105300542561240} is an apocalyptic number.

105300542561240 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 105300542561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128174060568960).

105300542561240 is an abundant number, since it is smaller than the sum of its proper divisors (151047578576680).

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

105300542561240 is a wasteful number, since it uses less digits than its factorization.

105300542561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253633 (or 253629 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 105300542561240 its reverse (42165245003501), we get a palindrome (147465787564741).

The spelling of 105300542561240 in words is "one hundred five trillion, three hundred billion, five hundred forty-two million, five hundred sixty-one thousand, two hundred forty".