106895738880 has 1728 divisors, whose sum is σ = 490675086720. Its totient is φ = 21785739264.

The previous prime is 106895738843. The next prime is 106895738947. The reversal of 106895738880 is 88837598601.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106895738880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5626091511 + ... + 5626091529.

It is an arithmetic number, because the mean of its divisors is an integer number (283955490).

Almost surely, 2^106895738880 is an apocalyptic number.

106895738880 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 106895738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245337543360).

106895738880 is an abundant number, since it is smaller than the sum of its proper divisors (383779347840).

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

106895738880 is an equidigital number, since it uses as much as digits as its factorization.

106895738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 106895738880 in words is "one hundred six billion, eight hundred ninety-five million, seven hundred thirty-eight thousand, eight hundred eighty".