106667008000 has 448 divisors, whose sum is σ = 317975943168. Its totient is φ = 34927411200.

The previous prime is 106667007947. The next prime is 106667008031. The reversal of 106667008000 is 800766601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106667008000² (a number of 23 digits) contains 22 as substring.

It is a congruent 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, 164863677 + ... + 164864323.

Almost surely, 2^106667008000 is an apocalyptic number.

106667008000 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 106667008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158987971584).

106667008000 is an abundant number, since it is smaller than the sum of its proper divisors (211308935168).

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

106667008000 is an frugal number, since it uses more digits than its factorization.

106667008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 106667008000 in words is "one hundred six billion, six hundred sixty-seven million, eight thousand".