106688640 has 128 divisors (see below), whose sum is σ = 343062720. Its totient is φ = 28200960.

The previous prime is 106688567. The next prime is 106688653. The reversal of 106688640 is 46886601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106688640² = 22764931810099200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347367 + ... + 347673.

Almost surely, 2^106688640 is an apocalyptic number.

106688640 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 106688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171531360).

106688640 is an abundant number, since it is smaller than the sum of its proper divisors (236374080).

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

106688640 is a wasteful number, since it uses less digits than its factorization.

106688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 106688640 is about 10329.0193145332. The cubic root of 106688640 is about 474.2850036970.

The spelling of 106688640 in words is "one hundred six million, six hundred eighty-eight thousand, six hundred forty".