105302846016 has 105 divisors (see below), whose sum is σ = 312219898419. Its totient is φ = 35093160576.

The previous prime is 105302845981. The next prime is 105302846017. The reversal of 105302846016 is 610648203501.

It is a happy number.

The square root of 105302846016 is 324504.

It is a perfect power (a square), and thus also a powerful number.

105302846016 is a `hidden beast` number, since 10 + 5 + 30 + 2 + 8 + 4 + 601 + 6 = 666.

It is a super-2 number, since 2×105302846016² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105302846017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23362035 + ... + 23366541.

Almost surely, 2^105302846016 is an apocalyptic number.

105302846016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105302846016 is the 324504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105302846016

105302846016 is an abundant number, since it is smaller than the sum of its proper divisors (206917052403).

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

105302846016 is an frugal number, since it uses more digits than its factorization.

105302846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 105302846016 by its sum of digits (36), we get a square (3790902456576 = 1947024²).

105302846016 divided by its sum of digits (36) gives a square (2925079056 = 54084²).

The spelling of 105302846016 in words is "one hundred five billion, three hundred two million, eight hundred forty-six thousand, sixteen".