1306105635010 has 64 divisors (see below), whose sum is σ = 2599123645440. Its totient is φ = 468591282880.

The previous prime is 1306105635001. The next prime is 1306105635047. The reversal of 1306105635010 is 105365016031.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6687321 + ... + 6879859.

It is an arithmetic number, because the mean of its divisors is an integer number (40611306960).

Almost surely, 2^{1306105635010} is an apocalyptic number.

1306105635010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1306105635010 is a deficient number, since it is larger than the sum of its proper divisors (1293018010430).

1306105635010 is a wasteful number, since it uses less digits than its factorization.

1306105635010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193383.

The product of its (nonzero) digits is 8100, while the sum is 31.

The spelling of 1306105635010 in words is "one trillion, three hundred six billion, one hundred five million, six hundred thirty-five thousand, ten".