105035320540000 has 120 divisors (see below), whose sum is σ = 260375189587128. Its totient is φ = 41693408640000.

The previous prime is 105035320539979. The next prime is 105035320540009. The reversal of 105035320540000 is 45023530501.

It is a super-2 number, since 2×105035320540000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105035320540009) 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, 17424909 + ... + 22664908.

Almost surely, 2^{105035320540000} is an apocalyptic number.

105035320540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105035320540000 is an abundant number, since it is smaller than the sum of its proper divisors (155339869047128).

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

105035320540000 is an equidigital number, since it uses as much as digits as its factorization.

105035320540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40089978 (or 40089955 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 105035320540000 in words is "one hundred five trillion, thirty-five billion, three hundred twenty million, five hundred forty thousand".