106724 has 6 divisors (see below), whose sum is σ = 186774. Its totient is φ = 53360.

The previous prime is 106721. The next prime is 106727. The reversal of 106724 is 427601.

106724 = T₂₂₉ + T₂₃₀ + ... + T₂₃₂.

It is an interprime number because it is at equal distance from previous prime (106721) and next prime (106727).

It can be written as a sum of positive squares in only one way, i.e., 53824 + 52900 = 232^2 + 230^2 .

It is a super-2 number, since 2×106724² = 22780024352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106696 and 106705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13337 + ... + 13344.

It is an arithmetic number, because the mean of its divisors is an integer number (31129).

2¹⁰⁶⁷²⁴ is an apocalyptic number.

It is an amenable number.

106724 is a deficient number, since it is larger than the sum of its proper divisors (80050).

106724 is a wasteful number, since it uses less digits than its factorization.

106724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26685 (or 26683 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 106724 is about 326.6863939622. The cubic root of 106724 is about 47.4337395608.

The spelling of 106724 in words is "one hundred six thousand, seven hundred twenty-four".