106735248 has 120 divisors (see below), whose sum is σ = 322077600. Its totient is φ = 32873472.

The previous prime is 106735243. The next prime is 106735289. The reversal of 106735248 is 842537601.

It is a super-2 number, since 2×106735248² = 22784826331243008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106735243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144063 + ... + 144801.

It is an arithmetic number, because the mean of its divisors is an integer number (2683980).

Almost surely, 2^106735248 is an apocalyptic number.

106735248 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 106735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038800).

106735248 is an abundant number, since it is smaller than the sum of its proper divisors (215342352).

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

106735248 is a wasteful number, since it uses less digits than its factorization.

106735248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106735248 is about 10331.2752359038. The cubic root of 106735248 is about 474.3540590255.

It can be divided in two parts, 1067 and 35248, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 106735248 in words is "one hundred six million, seven hundred thirty-five thousand, two hundred forty-eight".