105330415640 has 16 divisors (see below), whose sum is σ = 236993435280. Its totient is φ = 42132166240.

The previous prime is 105330415639. The next prime is 105330415643. The reversal of 105330415640 is 46514033501.

It is a super-2 number, since 2×105330415640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105330415597 and 105330415606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105330415643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316630156 + ... + 1316630235.

It is an arithmetic number, because the mean of its divisors is an integer number (14812089705).

Almost surely, 2^105330415640 is an apocalyptic number.

105330415640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105330415640 is an abundant number, since it is smaller than the sum of its proper divisors (131663019640).

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

105330415640 is a wasteful number, since it uses less digits than its factorization.

105330415640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633260402 (or 2633260398 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 105330415640 in words is "one hundred five billion, three hundred thirty million, four hundred fifteen thousand, six hundred forty".