106827240 has 192 divisors, whose sum is σ = 364008960. Its totient is φ = 24906240.

The previous prime is 106827187. The next prime is 106827241. The reversal of 106827240 is 42728601.

It is a super-2 number, since 2×106827240² = 22824118412035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106827198 and 106827207.

It is not an unprimeable number, because it can be changed into a prime (106827241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272897 + ... + 2272943.

It is an arithmetic number, because the mean of its divisors is an integer number (1895880).

Almost surely, 2^106827240 is an apocalyptic number.

106827240 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 106827240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182004480).

106827240 is an abundant number, since it is smaller than the sum of its proper divisors (257181720).

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

106827240 is a wasteful number, since it uses less digits than its factorization.

106827240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106827240 is about 10335.7263895674. The cubic root of 106827240 is about 474.4902972067.

The spelling of 106827240 in words is "one hundred six million, eight hundred twenty-seven thousand, two hundred forty".