106917888000000 has 2128 divisors, whose sum is σ = 448259647203072. Its totient is φ = 22020096000000.

The previous prime is 106917887999969. The next prime is 106917888000041. The reversal of 106917888000000 is 888719601.

It is a super-2 number, since 2×106917888000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 946175999944 + ... + 946176000056.

Almost surely, 2^{106917888000000} is an apocalyptic number.

106917888000000 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 106917888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224129823601536).

106917888000000 is an abundant number, since it is smaller than the sum of its proper divisors (341341759203072).

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

106917888000000 is an frugal number, since it uses more digits than its factorization.

106917888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 106917888000000 in words is "one hundred six trillion, nine hundred seventeen billion, eight hundred eighty-eight million", and thus it is an aban number.