106688240 has 40 divisors (see below), whose sum is σ = 248482608. Its totient is φ = 42600960.

The previous prime is 106688213. The next prime is 106688269. The reversal of 106688240 is 42886601.

It is a Cunningham number, because it is equal to 10329²-1.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106688240² = 22764761108595200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106688240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81995 + ... + 83285.

Almost surely, 2^106688240 is an apocalyptic number.

106688240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106688240 is an abundant number, since it is smaller than the sum of its proper divisors (141794368).

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

106688240 is a wasteful number, since it uses less digits than its factorization.

106688240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 106688240 is about 10328.9999515926. Note that the first 4 decimals coincide. The cubic root of 106688240 is about 474.2844109621.

The spelling of 106688240 in words is "one hundred six million, six hundred eighty-eight thousand, two hundred forty".