106802640 has 120 divisors (see below), whose sum is σ = 409938048. Its totient is φ = 24410880.

The previous prime is 106802627. The next prime is 106802651. The reversal of 106802640 is 46208601.

106802640 is a `hidden beast` number, since 10 + 6 + 8 + 0 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106802640² = 22813607821939200, 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 23 ways as a sum of consecutive naturals, for example, 5556 + ... + 15635.

Almost surely, 2^106802640 is an apocalyptic number.

106802640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106802640 is an abundant number, since it is smaller than the sum of its proper divisors (303135408).

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

106802640 is a wasteful number, since it uses less digits than its factorization.

106802640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21217 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106802640 is about 10334.5362740667. The cubic root of 106802640 is about 474.4538727972.

The spelling of 106802640 in words is "one hundred six million, eight hundred two thousand, six hundred forty".