106110202848 has 384 divisors, whose sum is σ = 325465620480. Its totient is φ = 30021304320.

The previous prime is 106110202843. The next prime is 106110202853. The reversal of 106110202848 is 848202011601.

It is an interprime number because it is at equal distance from previous prime (106110202843) and next prime (106110202853).

It is a super-2 number, since 2×106110202848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106110202841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63805665 + ... + 63807327.

It is an arithmetic number, because the mean of its divisors is an integer number (847566720).

Almost surely, 2^106110202848 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 106110202848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732810240).

106110202848 is an abundant number, since it is smaller than the sum of its proper divisors (219355417632).

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

106110202848 is a wasteful number, since it uses less digits than its factorization.

106110202848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 106110202848 in words is "one hundred six billion, one hundred ten million, two hundred two thousand, eight hundred forty-eight".