106720240 has 80 divisors (see below), whose sum is σ = 272634336. Its totient is φ = 38528000.

The previous prime is 106720223. The next prime is 106720277. The reversal of 106720240 is 42027601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106720240² = 22778419251315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 151890 + ... + 152590.

Almost surely, 2^106720240 is an apocalyptic number.

106720240 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 106720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136317168).

106720240 is an abundant number, since it is smaller than the sum of its proper divisors (165914096).

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

106720240 is a wasteful number, since it uses less digits than its factorization.

106720240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 106720240 is about 10330.5488721558. The cubic root of 106720240 is about 474.3318250726.

Adding to 106720240 its reverse (42027601), we get a palindrome (148747841).

The spelling of 106720240 in words is "one hundred six million, seven hundred twenty thousand, two hundred forty".