105601606010 has 32 divisors (see below), whose sum is σ = 199126598400. Its totient is φ = 40267805760.

The previous prime is 105601606003. The next prime is 105601606013. The reversal of 105601606010 is 10606106501.

It is a super-2 number, since 2×105601606010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105601606013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281796 + ... + 2327615.

It is an arithmetic number, because the mean of its divisors is an integer number (6222706200).

Almost surely, 2^105601606010 is an apocalyptic number.

105601606010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105601606010 is a deficient number, since it is larger than the sum of its proper divisors (93524992390).

105601606010 is a wasteful number, since it uses less digits than its factorization.

105601606010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609526.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 105601606010 in words is "one hundred five billion, six hundred one million, six hundred six thousand, ten".