106748688 has 80 divisors (see below), whose sum is σ = 294782720. Its totient is φ = 33187968.

The previous prime is 106748687. The next prime is 106748701. The reversal of 106748688 is 886847601.

It is a super-3 number, since 3×106748688³ (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 (48).

It is not an unprimeable number, because it can be changed into a prime (106748687) 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, 60231 + ... + 61977.

It is an arithmetic number, because the mean of its divisors is an integer number (3684784).

Almost surely, 2^106748688 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 106748688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147391360).

106748688 is an abundant number, since it is smaller than the sum of its proper divisors (188034032).

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

106748688 is a wasteful number, since it uses less digits than its factorization.

106748688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 106748688 is about 10331.9256675607. The cubic root of 106748688 is about 474.3739682592.

The spelling of 106748688 in words is "one hundred six million, seven hundred forty-eight thousand, six hundred eighty-eight".