106832896 has 99 divisors (see below), whose sum is σ = 239431449. Its totient is φ = 47628288.

The previous prime is 106832881. The next prime is 106832911. The reversal of 106832896 is 698238601.

The square root of 106832896 is 10336.

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

It is an interprime number because it is at equal distance from previous prime (106832881) and next prime (106832911).

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 23658496 = 9120^2 + 4864^2 .

It is a super-2 number, since 2×106832896² = 22826535335493632, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5622775 + ... + 5622793.

Almost surely, 2^106832896 is an apocalyptic number.

106832896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106832896 is the 10336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106832896

106832896 is an abundant number, since it is smaller than the sum of its proper divisors (132598553).

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

106832896 is an equidigital number, since it uses as much as digits as its factorization.

106832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The cubic root of 106832896 is about 474.4986710689.

The spelling of 106832896 in words is "one hundred six million, eight hundred thirty-two thousand, eight hundred ninety-six".