106800120 has 320 divisors, whose sum is σ = 435948480. Its totient is φ = 22892544.

The previous prime is 106800119. The next prime is 106800143. The reversal of 106800120 is 21008601.

It is a super-2 number, since 2×106800120² = 22812531264028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106800093 and 106800102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 385422 + ... + 385698.

It is an arithmetic number, because the mean of its divisors is an integer number (1362339).

Almost surely, 2^106800120 is an apocalyptic number.

106800120 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 106800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217974240).

106800120 is an abundant number, since it is smaller than the sum of its proper divisors (329148360).

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

106800120 is a wasteful number, since it uses less digits than its factorization.

106800120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106800120 is about 10334.4143520569. The cubic root of 106800120 is about 474.4501412004.

Adding to 106800120 its reverse (21008601), we get a palindrome (127808721).

The spelling of 106800120 in words is "one hundred six million, eight hundred thousand, one hundred twenty".