106801200 has 480 divisors, whose sum is σ = 442828800. Its totient is φ = 24192000.

The previous prime is 106801139. The next prime is 106801241. The reversal of 106801200 is 2108601.

It is a super-2 number, since 2×106801200² = 22812992642880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3445185 + ... + 3445215.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^106801200 is an apocalyptic number.

106801200 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 106801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

106801200 is an abundant number, since it is smaller than the sum of its proper divisors (336027600).

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

106801200 is a wasteful number, since it uses less digits than its factorization.

106801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

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

The square root of 106801200 is about 10334.4666045229. The cubic root of 106801200 is about 474.4517404634.

Adding to 106801200 its reverse (2108601), we get a palindrome (108909801).

The spelling of 106801200 in words is "one hundred six million, eight hundred one thousand, two hundred".