10165661000110 has 96 divisors (see below), whose sum is σ = 24586632636768. Its totient is φ = 2982134292480.

The previous prime is 10165661000107. The next prime is 10165661000111. The reversal of 10165661000110 is 1100016656101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165661000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55379619 + ... + 55562878.

It is an arithmetic number, because the mean of its divisors is an integer number (256110756633).

Almost surely, 2^{10165661000110} is an apocalyptic number.

10165661000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10165661000110 is an abundant number, since it is smaller than the sum of its proper divisors (14420971636658).

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

10165661000110 is a wasteful number, since it uses less digits than its factorization.

10165661000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110942546 (or 110942539 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 10165661000110 its reverse (1100016656101), we get a palindrome (11265677656211).

The spelling of 10165661000110 in words is "ten trillion, one hundred sixty-five billion, six hundred sixty-one million, one hundred ten", and thus it is an aban number.