106807248 has 70 divisors (see below), whose sum is σ = 310300514. Its totient is φ = 35598528.

The previous prime is 106807241. The next prime is 106807273. The reversal of 106807248 is 842708601.

It can be written as a sum of positive squares in only one way, i.e., 72795024 + 34012224 = 8532^2 + 5832^2 .

It is a super-3 number, since 3×106807248³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106807241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7086 + ... + 16242.

Almost surely, 2^106807248 is an apocalyptic number.

106807248 is a gapful number since it is divisible by the number (18) 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 106807248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155150257).

106807248 is an abundant number, since it is smaller than the sum of its proper divisors (203493266).

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

106807248 is an frugal number, since it uses more digits than its factorization.

106807248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106807248 is about 10334.7592134505. The cubic root of 106807248 is about 474.4606961367.

The spelling of 106807248 in words is "one hundred six million, eight hundred seven thousand, two hundred forty-eight".