106800603888 has 160 divisors (see below), whose sum is σ = 323446798080. Its totient is φ = 30005268480.

The previous prime is 106800603887. The next prime is 106800603911. The reversal of 106800603888 is 888306008601.

It is a happy number.

It is a super-2 number, since 2×106800603888² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (106800603881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512598 + ... + 690186.

It is an arithmetic number, because the mean of its divisors is an integer number (2021542488).

Almost surely, 2^106800603888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106800603888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161723399040).

106800603888 is an abundant number, since it is smaller than the sum of its proper divisors (216646194192).

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

106800603888 is a wasteful number, since it uses less digits than its factorization.

106800603888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177695 (or 177689 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 106800603888 in words is "one hundred six billion, eight hundred million, six hundred three thousand, eight hundred eighty-eight".