106828307716 has 45 divisors (see below), whose sum is σ = 202737777459. Its totient is φ = 49254384816.

The previous prime is 106828307687. The next prime is 106828307743. The reversal of 106828307716 is 617703828601.

It is a happy number.

The square root of 106828307716 is 326846.

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

It can be written as a sum of positive squares in 2 ways, for example, as 52967181316 + 53861126400 = 230146^2 + 232080^2 .

It is a super-2 number, since 2×106828307716² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106828307716.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 110473465 + ... + 110474431.

Almost surely, 2^106828307716 is an apocalyptic number.

106828307716 is the 326846-th square number.

It is an amenable number.

106828307716 is a deficient number, since it is larger than the sum of its proper divisors (95909469743).

106828307716 is an frugal number, since it uses more digits than its factorization.

106828307716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 106828307716 by its sum of digits (49), we get a square (5234587078084 = 2287922²).

The spelling of 106828307716 in words is "one hundred six billion, eight hundred twenty-eight million, three hundred seven thousand, seven hundred sixteen".