106848600 has 96 divisors (see below), whose sum is σ = 340253520. Its totient is φ = 27717120.

The previous prime is 106848589. The next prime is 106848611. The reversal of 106848600 is 6848601.

It is an interprime number because it is at equal distance from previous prime (106848589) and next prime (106848611).

It is a super-2 number, since 2×106848600² = 22833246643920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19794 + ... + 24606.

Almost surely, 2^106848600 is an apocalyptic number.

106848600 is a gapful number since it is divisible by the number (10) 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 106848600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170126760).

106848600 is an abundant number, since it is smaller than the sum of its proper divisors (233404920).

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

106848600 is a wasteful number, since it uses less digits than its factorization.

106848600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 106848600 is about 10336.7596470074. The cubic root of 106848600 is about 474.5219197196.

Subtracting from 106848600 its reverse (6848601), we obtain a palindrome (99999999).

The spelling of 106848600 in words is "one hundred six million, eight hundred forty-eight thousand, six hundred".