106852824 has 64 divisors (see below), whose sum is σ = 319653600. Its totient is φ = 32876928.

The previous prime is 106852819. The next prime is 106852841. The reversal of 106852824 is 428258601.

106852824 is a `hidden beast` number, since 106 + 8 + 528 + 24 = 666.

It is a super-2 number, since 2×106852824² = 22835051993549952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16219 + ... + 21834.

Almost surely, 2^106852824 is an apocalyptic number.

It is an amenable number.

106852824 is an abundant number, since it is smaller than the sum of its proper divisors (212800776).

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

106852824 is a wasteful number, since it uses less digits than its factorization.

106852824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38081 (or 38071 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106852824 is about 10336.9639643369. The cubic root of 106852824 is about 474.5281726612.

The spelling of 106852824 in words is "one hundred six million, eight hundred fifty-two thousand, eight hundred twenty-four".