106368444 has 192 divisors, whose sum is σ = 346214400. Its totient is φ = 27495936.

The previous prime is 106368443. The next prime is 106368467. The reversal of 106368444 is 444863601.

106368444 is a `hidden beast` number, since 10 + 636 + 8 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×106368444² = 22628491757962272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106368399 and 106368408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106368443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776344 + ... + 776480.

It is an arithmetic number, because the mean of its divisors is an integer number (1803200).

Almost surely, 2^106368444 is an apocalyptic number.

106368444 is a gapful number since it is divisible by the number (14) 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 106368444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173107200).

106368444 is an abundant number, since it is smaller than the sum of its proper divisors (239845956).

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

106368444 is a wasteful number, since it uses less digits than its factorization.

106368444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 106368444 is about 10313.5078416609. The cubic root of 106368444 is about 473.8100504726.

The spelling of 106368444 in words is "one hundred six million, three hundred sixty-eight thousand, four hundred forty-four".