1006105610010 has 16 divisors (see below), whose sum is σ = 2414653464096. Its totient is φ = 268294829328.

The previous prime is 1006105609967. The next prime is 1006105610011. The reversal of 1006105610010 is 100165016001.

It is not an unprimeable number, because it can be changed into a prime (1006105610011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16768426804 + ... + 16768426863.

It is an arithmetic number, because the mean of its divisors is an integer number (150915841506).

Almost surely, 2^{1006105610010} is an apocalyptic number.

1006105610010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006105610010 is an abundant number, since it is smaller than the sum of its proper divisors (1408547854086).

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

1006105610010 is a wasteful number, since it uses less digits than its factorization.

1006105610010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33536853677.

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

The spelling of 1006105610010 in words is "one trillion, six billion, one hundred five million, six hundred ten thousand, ten".