106815852 has 72 divisors (see below), whose sum is σ = 317226000. Its totient is φ = 29877120.

The previous prime is 106815851. The next prime is 106815859. The reversal of 106815852 is 258518601.

106815852 is a `hidden beast` number, since 10 + 68 + 1 + 585 + 2 = 666.

It is a super-2 number, since 2×106815852² = 22819252476971808, 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 not an unprimeable number, because it can be changed into a prime (106815851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5227 + ... + 15522.

Almost surely, 2^106815852 is an apocalyptic number.

106815852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106815852 is an abundant number, since it is smaller than the sum of its proper divisors (210410148).

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

106815852 is a wasteful number, since it uses less digits than its factorization.

106815852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20783 (or 20778 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 106815852 is about 10335.1754702085. The cubic root of 106815852 is about 474.4734360655.

The spelling of 106815852 in words is "one hundred six million, eight hundred fifteen thousand, eight hundred fifty-two".