106832720 has 20 divisors (see below), whose sum is σ = 248386260. Its totient is φ = 42733056.

The previous prime is 106832711. The next prime is 106832729. The reversal of 106832720 is 27238601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106832711) and next prime (106832729).

It can be written as a sum of positive squares in 2 ways, for example, as 27836176 + 78996544 = 5276^2 + 8888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106832720² = 22826460125196800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106832729) 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, 667625 + ... + 667784.

It is an arithmetic number, because the mean of its divisors is an integer number (12419313).

Almost surely, 2^106832720 is an apocalyptic number.

106832720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106832720 is an abundant number, since it is smaller than the sum of its proper divisors (141553540).

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

106832720 is a wasteful number, since it uses less digits than its factorization.

106832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335422 (or 1335416 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 106832720 is about 10335.9914860646. The cubic root of 106832720 is about 474.4984105005.

The spelling of 106832720 in words is "one hundred six million, eight hundred thirty-two thousand, seven hundred twenty".