105035320540 has 24 divisors (see below), whose sum is σ = 222257950992. Its totient is φ = 41693408640.

The previous prime is 105035320457. The next prime is 105035320583. The reversal of 105035320540 is 45023530501.

It is a super-2 number, since 2×105035320540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105035320499 and 105035320508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20042289 + ... + 20047528.

It is an arithmetic number, because the mean of its divisors is an integer number (9260747958).

Almost surely, 2^105035320540 is an apocalyptic number.

105035320540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105035320540 is an abundant number, since it is smaller than the sum of its proper divisors (117222630452).

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

105035320540 is a wasteful number, since it uses less digits than its factorization.

105035320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40089957 (or 40089955 counting only the distinct ones).

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

The spelling of 105035320540 in words is "one hundred five billion, thirty-five million, three hundred twenty thousand, five hundred forty".