105000560600010 has 32 divisors (see below), whose sum is σ = 252013914902592. Its totient is φ = 27998752886400.

The previous prime is 105000560600009. The next prime is 105000560600011. The reversal of 105000560600010 is 10006065000501.

It is an interprime number because it is at equal distance from previous prime (105000560600009) and next prime (105000560600011).

It is a super-2 number, since 2×105000560600010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000560600011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86676379 + ... + 87879438.

It is an arithmetic number, because the mean of its divisors is an integer number (7875434840706).

Almost surely, 2^{105000560600010} is an apocalyptic number.

105000560600010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105000560600010 is an abundant number, since it is smaller than the sum of its proper divisors (147013354302582).

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

105000560600010 is a wasteful number, since it uses less digits than its factorization.

105000560600010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174575878.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 105000560600010 in words is "one hundred five trillion, five hundred sixty million, six hundred thousand, ten".