106631820 has 72 divisors (see below), whose sum is σ = 342486144. Its totient is φ = 26761728.

The previous prime is 106631801. The next prime is 106631827. The reversal of 106631820 is 28136601.

106631820 is a `hidden beast` number, since 1 + 0 + 6 + 631 + 8 + 20 = 666.

It is a super-2 number, since 2×106631820² = 22740690073024800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106631827) 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, 14364 + ... + 20483.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2^106631820 is an apocalyptic number.

106631820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106631820 is an abundant number, since it is smaller than the sum of its proper divisors (235854324).

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

106631820 is a wasteful number, since it uses less digits than its factorization.

106631820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34879 (or 34874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106631820 is about 10326.2684450870. The cubic root of 106631820 is about 474.2007908591.

The spelling of 106631820 in words is "one hundred six million, six hundred thirty-one thousand, eight hundred twenty".