106647840 has 288 divisors, whose sum is σ = 408373056. Its totient is φ = 26127360.

The previous prime is 106647839. The next prime is 106647859. The reversal of 106647840 is 48746601.

106647840 is a `hidden beast` number, since 1 + 0 + 6 + 647 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106647840² = 22747523553331200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106647795 and 106647804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505335 + ... + 505545.

It is an arithmetic number, because the mean of its divisors is an integer number (1417962).

Almost surely, 2^106647840 is an apocalyptic number.

106647840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106647840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204186528).

106647840 is an abundant number, since it is smaller than the sum of its proper divisors (301725216).

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

106647840 is a wasteful number, since it uses less digits than its factorization.

106647840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106647840 is about 10327.0441075847. The cubic root of 106647840 is about 474.2245371050.

The spelling of 106647840 in words is "one hundred six million, six hundred forty-seven thousand, eight hundred forty".