100670671100160 has 864 divisors, whose sum is σ = 420697152691200. Its totient is φ = 23010407755776.

The previous prime is 100670671100159. The next prime is 100670671100179. The reversal of 100670671100160 is 61001176076001.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 136801681 + ... + 137535599.

It is an arithmetic number, because the mean of its divisors is an integer number (486918000800).

Almost surely, 2^{100670671100160} is an apocalyptic number.

100670671100160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100670671100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210348576345600).

100670671100160 is an abundant number, since it is smaller than the sum of its proper divisors (320026481591040).

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

100670671100160 is an frugal number, since it uses more digits than its factorization.

100670671100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733975 (or 733936 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 100670671100160 in words is "one hundred trillion, six hundred seventy billion, six hundred seventy-one million, one hundred thousand, one hundred sixty".