106281240 has 128 divisors (see below), whose sum is σ = 346127040. Its totient is φ = 25952256.

The previous prime is 106281239. The next prime is 106281247. The reversal of 106281240 is 42182601.

It is a super-2 number, since 2×106281240² = 22591403951875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106281240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106281247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300904 + ... + 301256.

Almost surely, 2^106281240 is an apocalyptic number.

106281240 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 106281240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173063520).

106281240 is an abundant number, since it is smaller than the sum of its proper divisors (239845800).

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

106281240 is a wasteful number, since it uses less digits than its factorization.

106281240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106281240 is about 10309.2793152577. The cubic root of 106281240 is about 473.6805339026.

The spelling of 106281240 in words is "one hundred six million, two hundred eighty-one thousand, two hundred forty".