105363597194240 has 264 divisors, whose sum is σ = 320742913123872. Its totient is φ = 32840600862720.

The previous prime is 105363597194203. The next prime is 105363597194363. The reversal of 105363597194240 is 42491795363501.

105363597194240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105363597194240² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105363597194240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16330142 + ... + 21849501.

Almost surely, 2^{105363597194240} is an apocalyptic number.

105363597194240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105363597194240 is an abundant number, since it is smaller than the sum of its proper divisors (215379315929632).

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

105363597194240 is a wasteful number, since it uses less digits than its factorization.

105363597194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38179693 (or 38179668 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 59.

The spelling of 105363597194240 in words is "one hundred five trillion, three hundred sixty-three billion, five hundred ninety-seven million, one hundred ninety-four thousand, two hundred forty".