106005640 has 32 divisors (see below), whose sum is σ = 256861080. Its totient is φ = 39140352.

The previous prime is 106005631. The next prime is 106005673. The reversal of 106005640 is 46500601.

It can be written as a sum of positive squares in 4 ways, for example, as 36216324 + 69789316 = 6018^2 + 8354^2 .

It is a super-2 number, since 2×106005640² = 22474391423619200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101409 + ... + 102448.

Almost surely, 2^106005640 is an apocalyptic number.

106005640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005640 is an abundant number, since it is smaller than the sum of its proper divisors (150855440).

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

106005640 is a wasteful number, since it uses less digits than its factorization.

106005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203881 (or 203877 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106005640 is about 10295.9040399569. The cubic root of 106005640 is about 473.2707426771.

The spelling of 106005640 in words is "one hundred six million, five thousand, six hundred forty".