106680240 has 200 divisors, whose sum is σ = 376480368. Its totient is φ = 27993600.

The previous prime is 106680227. The next prime is 106680247. The reversal of 106680240 is 42086601.

It is a super-2 number, since 2×106680240² = 22761347212915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106680247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 654399 + ... + 654561.

Almost surely, 2^106680240 is an apocalyptic number.

106680240 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 106680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188240184).

106680240 is an abundant number, since it is smaller than the sum of its proper divisors (269800128).

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

106680240 is a wasteful number, since it uses less digits than its factorization.

106680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

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

The square root of 106680240 is about 10328.6126851577. The cubic root of 106680240 is about 474.2725559532.

The spelling of 106680240 in words is "one hundred six million, six hundred eighty thousand, two hundred forty".