106828660 has 12 divisors (see below), whose sum is σ = 224340228. Its totient is φ = 42731456.

The previous prime is 106828643. The next prime is 106828661. The reversal of 106828660 is 66828601.

It can be written as a sum of positive squares in 2 ways, for example, as 23872996 + 82955664 = 4886^2 + 9108^2 .

It is a super-2 number, since 2×106828660² = 22824725194791200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106828661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2670697 + ... + 2670736.

It is an arithmetic number, because the mean of its divisors is an integer number (18695019).

Almost surely, 2^106828660 is an apocalyptic number.

106828660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106828660 is an abundant number, since it is smaller than the sum of its proper divisors (117511568).

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

106828660 is a wasteful number, since it uses less digits than its factorization.

106828660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341442 (or 5341440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 106828660 is about 10335.7950831080. The cubic root of 106828660 is about 474.4923995832.

The spelling of 106828660 in words is "one hundred six million, eight hundred twenty-eight thousand, six hundred sixty".