105416132810 has 16 divisors (see below), whose sum is σ = 189762357096. Its totient is φ = 42163493568.

The previous prime is 105416132807. The next prime is 105416132849. The reversal of 105416132810 is 18231614501.

It can be written as a sum of positive squares in 4 ways, for example, as 104839316521 + 576816289 = 323789^2 + 24017^2 .

It is a super-2 number, since 2×105416132810² (a number of 23 digits) contains 22 as substring.

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, 217349 + ... + 508008.

Almost surely, 2^105416132810 is an apocalyptic number.

105416132810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105416132810 is a deficient number, since it is larger than the sum of its proper divisors (84346224286).

105416132810 is a wasteful number, since it uses less digits than its factorization.

105416132810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739897.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 105416132810 in words is "one hundred five billion, four hundred sixteen million, one hundred thirty-two thousand, eight hundred ten".