1010610006105 has 32 divisors (see below), whose sum is σ = 1848010272768. Its totient is φ = 461983723200.

The previous prime is 1010610006073. The next prime is 1010610006121. The reversal of 1010610006105 is 5016000160101.

1010610006105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010610006105 - 2⁵ = 1010610006073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9944500 + ... + 10045610.

It is an arithmetic number, because the mean of its divisors is an integer number (57750321024).

Almost surely, 2^{1010610006105} is an apocalyptic number.

1010610006105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010610006105 is a deficient number, since it is larger than the sum of its proper divisors (837400266663).

1010610006105 is a wasteful number, since it uses less digits than its factorization.

1010610006105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196317.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 1010610006105 its reverse (5016000160101), we get a palindrome (6026610166206).

The spelling of 1010610006105 in words is "one trillion, ten billion, six hundred ten million, six thousand, one hundred five".