105505100505010 has 8 divisors (see below), whose sum is σ = 189909180909036. Its totient is φ = 42202040202000.

The previous prime is 105505100504989. The next prime is 105505100505019. The reversal of 105505100505010 is 10505001505501.

It can be written as a sum of positive squares in 2 ways, for example, as 103576560044049 + 1928540460961 = 10177257^2 + 1388719^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105505100505010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505100505010.

It is not an unprimeable number, because it can be changed into a prime (105505100505019) 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, 5275255025241 + ... + 5275255025260.

Almost surely, 2^{105505100505010} is an apocalyptic number.

105505100505010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505100505010 is a deficient number, since it is larger than the sum of its proper divisors (84404080404026).

105505100505010 is a wasteful number, since it uses less digits than its factorization.

105505100505010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550510050508.

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 105505100505010 in words is "one hundred five trillion, five hundred five billion, one hundred million, five hundred five thousand, ten".