106891067016000 has 896 divisors, whose sum is σ = 410369525329920. Its totient is φ = 27206793216000.

The previous prime is 106891067015917. The next prime is 106891067016001. The reversal of 106891067016000 is 610760198601.

It is a super-2 number, since 2×106891067016000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106891067016001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488698662 + ... + 488917338.

Almost surely, 2^{106891067016000} is an apocalyptic number.

106891067016000 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 106891067016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205184762664960).

106891067016000 is an abundant number, since it is smaller than the sum of its proper divisors (303478458313920).

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

106891067016000 is a wasteful number, since it uses less digits than its factorization.

106891067016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218817 (or 218791 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 106891067016000 in words is "one hundred six trillion, eight hundred ninety-one billion, sixty-seven million, sixteen thousand".