106017670000 has 200 divisors, whose sum is σ = 280863095040. Its totient is φ = 38435040000.

The previous prime is 106017669889. The next prime is 106017670019. The reversal of 106017670000 is 76710601.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×106017670000² (a number of 23 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41688729 + ... + 41691271.

Almost surely, 2^106017670000 is an apocalyptic number.

106017670000 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 106017670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140431547520).

106017670000 is an abundant number, since it is smaller than the sum of its proper divisors (174845425040).

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

106017670000 is a wasteful number, since it uses less digits than its factorization.

106017670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 106017670000 in words is "one hundred six billion, seventeen million, six hundred seventy thousand".