106986700800 has 768 divisors, whose sum is σ = 449874182400. Its totient is φ = 24418713600.

The previous prime is 106986700789. The next prime is 106986700817. The reversal of 106986700800 is 8007689601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×106986700800² (a number of 23 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154828455 + ... + 154829145.

It is an arithmetic number, because the mean of its divisors is an integer number (585773675).

Almost surely, 2^106986700800 is an apocalyptic number.

106986700800 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 106986700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224937091200).

106986700800 is an abundant number, since it is smaller than the sum of its proper divisors (342887481600).

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

106986700800 is an frugal number, since it uses more digits than its factorization.

106986700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 106986700800 in words is "one hundred six billion, nine hundred eighty-six million, seven hundred thousand, eight hundred".