106163640 has 384 divisors, whose sum is σ = 424569600. Its totient is φ = 22671360.

The previous prime is 106163639. The next prime is 106163663. The reversal of 106163640 is 46361601.

106163640 is a `hidden beast` number, since 1 + 0 + 6 + 16 + 3 + 640 = 666.

It is a super-2 number, since 2×106163640² = 22541436916099200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1279039 + ... + 1279121.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^106163640 is an apocalyptic number.

106163640 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 106163640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

106163640 is an abundant number, since it is smaller than the sum of its proper divisors (318405960).

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

106163640 is a wasteful number, since it uses less digits than its factorization.

106163640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106163640 is about 10303.5741371623. The cubic root of 106163640 is about 473.5057605397.

The spelling of 106163640 in words is "one hundred six million, one hundred sixty-three thousand, six hundred forty".