1005600106010 has 32 divisors (see below), whose sum is σ = 1811254753152. Its totient is φ = 401979140800.

The previous prime is 1005600105971. The next prime is 1005600106013. The reversal of 1005600106010 is 106010065001.

It is a happy number.

It is a super-2 number, since 2×1005600106010² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005600106013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187924835 + ... + 187930185.

It is an arithmetic number, because the mean of its divisors is an integer number (56601711036).

Almost surely, 2^{1005600106010} is an apocalyptic number.

1005600106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005600106010 is a deficient number, since it is larger than the sum of its proper divisors (805654647142).

1005600106010 is a wasteful number, since it uses less digits than its factorization.

1005600106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14038.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1005600106010 in words is "one trillion, five billion, six hundred million, one hundred six thousand, ten".