106702848 has 144 divisors (see below), whose sum is σ = 352628640. Its totient is φ = 30449664.

The previous prime is 106702811. The next prime is 106702853. The reversal of 106702848 is 848207601.

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

It is a super-2 number, since 2×106702848² = 22770995542622208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128611 + ... + 129437.

It is an arithmetic number, because the mean of its divisors is an integer number (2448810).

Almost surely, 2^106702848 is an apocalyptic number.

106702848 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 106702848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314320).

106702848 is an abundant number, since it is smaller than the sum of its proper divisors (245925792).

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

106702848 is an equidigital number, since it uses as much as digits as its factorization.

106702848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 839 counting only the distinct ones).

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

The square root of 106702848 is about 10329.7070626422. The cubic root of 106702848 is about 474.3060566796.

The spelling of 106702848 in words is "one hundred six million, seven hundred two thousand, eight hundred forty-eight".