106302816 has 72 divisors (see below), whose sum is σ = 304353504. Its totient is φ = 35193600.

The previous prime is 106302793. The next prime is 106302817. The reversal of 106302816 is 618203601.

106302816 is a `hidden beast` number, since 1 + 0 + 630 + 28 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106302816² = 22600577379059712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106302816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106302817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44041 + ... + 46391.

It is an arithmetic number, because the mean of its divisors is an integer number (4227132).

Almost surely, 2^106302816 is an apocalyptic number.

106302816 is a gapful number since it is divisible by the number (16) 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 106302816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152176752).

106302816 is an abundant number, since it is smaller than the sum of its proper divisors (198050688).

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

106302816 is a wasteful number, since it uses less digits than its factorization.

106302816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106302816 is about 10310.3256980563. The cubic root of 106302816 is about 473.7125854659.

The spelling of 106302816 in words is "one hundred six million, three hundred two thousand, eight hundred sixteen".