100610065106160 has 80 divisors (see below), whose sum is σ = 314752589083680. Its totient is φ = 26583209856000.

The previous prime is 100610065106141. The next prime is 100610065106191. The reversal of 100610065106160 is 61601560016001.

100610065106160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×100610065106160³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922949091 + ... + 1923001410.

It is an arithmetic number, because the mean of its divisors is an integer number (3934407363546).

Almost surely, 2^{100610065106160} is an apocalyptic number.

100610065106160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100610065106160 is an abundant number, since it is smaller than the sum of its proper divisors (214142523977520).

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

100610065106160 is a wasteful number, since it uses less digits than its factorization.

100610065106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845950626 (or 3845950620 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 100610065106160 in words is "one hundred trillion, six hundred ten billion, sixty-five million, one hundred six thousand, one hundred sixty".