106638320 has 20 divisors (see below), whose sum is σ = 247934280. Its totient is φ = 42655296.

The previous prime is 106638313. The next prime is 106638341. The reversal of 106638320 is 23836601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106638320² = 22743462584844800, 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 3 ways as a sum of consecutive naturals, for example, 666410 + ... + 666569.

It is an arithmetic number, because the mean of its divisors is an integer number (12396714).

Almost surely, 2^106638320 is an apocalyptic number.

106638320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106638320 is an abundant number, since it is smaller than the sum of its proper divisors (141295960).

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

106638320 is a wasteful number, since it uses less digits than its factorization.

106638320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332992 (or 1332986 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 106638320 is about 10326.5831716013. The cubic root of 106638320 is about 474.2104260146.

The spelling of 106638320 in words is "one hundred six million, six hundred thirty-eight thousand, three hundred twenty".