106795248 has 80 divisors (see below), whose sum is σ = 325502976. Its totient is φ = 29525760.

The previous prime is 106795243. The next prime is 106795267. The reversal of 106795248 is 842597601.

It is a super-2 number, since 2×106795248² = 22810449990763008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106795243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5290 + ... + 15542.

Almost surely, 2^106795248 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 106795248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751488).

106795248 is an abundant number, since it is smaller than the sum of its proper divisors (218707728).

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

106795248 is a wasteful number, since it uses less digits than its factorization.

106795248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 106795248 is about 10334.1786320926. The cubic root of 106795248 is about 474.4429266136.

The spelling of 106795248 in words is "one hundred six million, seven hundred ninety-five thousand, two hundred forty-eight".