10106305248 has 384 divisors, whose sum is σ = 32006016000. Its totient is φ = 2760671232.

The previous prime is 10106305241. The next prime is 10106305249. The reversal of 10106305248 is 84250360101.

10106305248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106305241) 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, 67827478 + ... + 67827626.

It is an arithmetic number, because the mean of its divisors is an integer number (83349000).

Almost surely, 2^10106305248 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 10106305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008000).

10106305248 is an abundant number, since it is smaller than the sum of its proper divisors (21899710752).

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

10106305248 is a wasteful number, since it uses less digits than its factorization.

10106305248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10106305248 its reverse (84250360101), we get a palindrome (94356665349).

The spelling of 10106305248 in words is "ten billion, one hundred six million, three hundred five thousand, two hundred forty-eight".