106668787000 has 64 divisors (see below), whose sum is σ = 249769728000. Its totient is φ = 42639350400.

The previous prime is 106668786989. The next prime is 106668787009. The reversal of 106668787000 is 787866601.

It is a super-2 number, since 2×106668787000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106668787009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514569 + ... + 1583431.

It is an arithmetic number, because the mean of its divisors is an integer number (3902652000).

Almost surely, 2^106668787000 is an apocalyptic number.

106668787000 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 106668787000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124884864000).

106668787000 is an abundant number, since it is smaller than the sum of its proper divisors (143100941000).

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

106668787000 is a wasteful number, since it uses less digits than its factorization.

106668787000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70433 (or 70419 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 106668787000 in words is "one hundred six billion, six hundred sixty-eight million, seven hundred eighty-seven thousand".