106810824 has 32 divisors (see below), whose sum is σ = 269529120. Its totient is φ = 35270016.

The previous prime is 106810807. The next prime is 106810831. The reversal of 106810824 is 428018601.

It is a super-2 number, since 2×106810824² = 22817104247117952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106810791 and 106810800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18229 + ... + 23364.

It is an arithmetic number, because the mean of its divisors is an integer number (8422785).

Almost surely, 2^106810824 is an apocalyptic number.

It is an amenable number.

106810824 is an abundant number, since it is smaller than the sum of its proper divisors (162718296).

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

106810824 is a wasteful number, since it uses less digits than its factorization.

106810824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41709 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 106810824 is about 10334.9322203873. The cubic root of 106810824 is about 474.4659911972.

The spelling of 106810824 in words is "one hundred six million, eight hundred ten thousand, eight hundred twenty-four".