106801344 has 168 divisors, whose sum is σ = 349483680. Its totient is φ = 30892032.

The previous prime is 106801313. The next prime is 106801381. The reversal of 106801344 is 443108601.

It is a super-2 number, since 2×106801344² = 22813054160412672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126877 + ... + 127715.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^106801344 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 106801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

106801344 is an abundant number, since it is smaller than the sum of its proper divisors (242682336).

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

106801344 is a wasteful number, since it uses less digits than its factorization.

106801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106801344 is about 10334.4735714985. The cubic root of 106801344 is about 474.4519536976.

Adding to 106801344 its reverse (443108601), we get a palindrome (549909945).

The spelling of 106801344 in words is "one hundred six million, eight hundred one thousand, three hundred forty-four".