106410240 has 144 divisors (see below), whose sum is σ = 377731200. Its totient is φ = 28366848.

The previous prime is 106410181. The next prime is 106410257. The reversal of 106410240 is 42014601.

106410240 is a `hidden beast` number, since 1 + 0 + 641 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106410240² = 22646278353715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33021 + ... + 36099.

Almost surely, 2^106410240 is an apocalyptic number.

106410240 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 106410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188865600).

106410240 is an abundant number, since it is smaller than the sum of its proper divisors (271320960).

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

106410240 is an equidigital number, since it uses as much as digits as its factorization.

106410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106410240 is about 10315.5339173501. The cubic root of 106410240 is about 473.8721013681.

Adding to 106410240 its reverse (42014601), we get a palindrome (148424841).

The spelling of 106410240 in words is "one hundred six million, four hundred ten thousand, two hundred forty".