106708900 has 27 divisors (see below), whose sum is σ = 231782691. Its totient is φ = 42642240.

The previous prime is 106708879. The next prime is 106708909. The reversal of 106708900 is 9807601.

The square root of 106708900 is 10330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 85969984 = 4554^2 + 9272^2 .

It is a super-2 number, since 2×106708900² = 22773578678420000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106708909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102784 + ... + 103816.

Almost surely, 2^106708900 is an apocalyptic number.

106708900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106708900 is the 10330-th square number.

It is an amenable number.

106708900 is an abundant number, since it is smaller than the sum of its proper divisors (125073791).

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

106708900 is an equidigital number, since it uses as much as digits as its factorization.

106708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The cubic root of 106708900 is about 474.3150237816.

The spelling of 106708900 in words is "one hundred six million, seven hundred eight thousand, nine hundred".