105066804040 has 32 divisors (see below), whose sum is σ = 257891247360. Its totient is φ = 38206110400.

The previous prime is 105066803983. The next prime is 105066804049. The reversal of 105066804040 is 40408660501.

It is a super-2 number, since 2×105066804040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105066803987 and 105066804005.

It is not an unprimeable number, because it can be changed into a prime (105066804049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119393656 + ... + 119394535.

It is an arithmetic number, because the mean of its divisors is an integer number (8059101480).

Almost surely, 2^105066804040 is an apocalyptic number.

105066804040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105066804040 is an abundant number, since it is smaller than the sum of its proper divisors (152824443320).

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

105066804040 is a wasteful number, since it uses less digits than its factorization.

105066804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238788213 (or 238788209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 105066804040 in words is "one hundred five billion, sixty-six million, eight hundred four thousand, forty".