105606002010 has 64 divisors (see below), whose sum is σ = 258381228672. Its totient is φ = 27619132416.

The previous prime is 105606001993. The next prime is 105606002017. The reversal of 105606002010 is 10200606501.

It is a happy number.

It is a super-3 number, since 3×105606002010³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105606002017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186342 + ... + 495918.

It is an arithmetic number, because the mean of its divisors is an integer number (4037206698).

Almost surely, 2^105606002010 is an apocalyptic number.

105606002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105606002010 is an abundant number, since it is smaller than the sum of its proper divisors (152775226662).

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

105606002010 is a wasteful number, since it uses less digits than its factorization.

105606002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309807.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 105606002010 its reverse (10200606501), we get a palindrome (115806608511).

The spelling of 105606002010 in words is "one hundred five billion, six hundred six million, two thousand, ten".