106999289496000 has 896 divisors, whose sum is σ = 428407080192000. Its totient is φ = 25930105344000.

The previous prime is 106999289495983. The next prime is 106999289496007. The reversal of 106999289496000 is 694982999601.

106999289496000 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 9 + 9 + 2 + 8 + 9 + 4 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×106999289496000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 106999289496000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106999289496007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8836337946 + ... + 8836350054.

It is an arithmetic number, because the mean of its divisors is an integer number (478132902000).

Almost surely, 2^{106999289496000} is an apocalyptic number.

106999289496000 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 106999289496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214203540096000).

106999289496000 is an abundant number, since it is smaller than the sum of its proper divisors (321407790696000).

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

106999289496000 is a wasteful number, since it uses less digits than its factorization.

106999289496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15875 (or 15849 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 106999289496000 in words is "one hundred six trillion, nine hundred ninety-nine billion, two hundred eighty-nine million, four hundred ninety-six thousand".