106783248 has 160 divisors (see below), whose sum is σ = 331978752. Its totient is φ = 29145600.

The previous prime is 106783213. The next prime is 106783253. The reversal of 106783248 is 842387601.

It is a super-2 number, since 2×106783248² = 22805324106859008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 322443 + ... + 322773.

Almost surely, 2^106783248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106783248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165989376).

106783248 is an abundant number, since it is smaller than the sum of its proper divisors (225195504).

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

106783248 is a wasteful number, since it uses less digits than its factorization.

106783248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 106783248 is about 10333.5980181155. The cubic root of 106783248 is about 474.4251557593.

The spelling of 106783248 in words is "one hundred six million, seven hundred eighty-three thousand, two hundred forty-eight".