106864240 has 40 divisors (see below), whose sum is σ = 283955040. Its totient is φ = 36638976.

The previous prime is 106864237. The next prime is 106864249. The reversal of 106864240 is 42468601.

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

It is a super-2 number, since 2×106864240² = 22839931581555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106864249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94855 + ... + 95974.

It is an arithmetic number, because the mean of its divisors is an integer number (7098876).

Almost surely, 2^106864240 is an apocalyptic number.

106864240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106864240 is an abundant number, since it is smaller than the sum of its proper divisors (177090800).

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

106864240 is a wasteful number, since it uses less digits than its factorization.

106864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190849 (or 190843 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 106864240 is about 10337.5161426718. The cubic root of 106864240 is about 474.5450713589.

The spelling of 106864240 in words is "one hundred six million, eight hundred sixty-four thousand, two hundred forty".