105505106006010 has 64 divisors (see below), whose sum is σ = 253534778870400. Its totient is φ = 28098879950592.

The previous prime is 105505106005997. The next prime is 105505106006021. The reversal of 105505106006010 is 10600601505501.

It is a super-2 number, since 2×105505106006010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79683112 + ... + 80996348.

It is an arithmetic number, because the mean of its divisors is an integer number (3961480919850).

Almost surely, 2^{105505106006010} is an apocalyptic number.

105505106006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505106006010 is an abundant number, since it is smaller than the sum of its proper divisors (148029672864390).

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

105505106006010 is a wasteful number, since it uses less digits than its factorization.

105505106006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316655.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105505106006010 in words is "one hundred five trillion, five hundred five billion, one hundred six million, six thousand, ten".