10102337856 has 336 divisors, whose sum is σ = 33585381648. Its totient is φ = 2875392000.

The previous prime is 10102337849. The next prime is 10102337893. The reversal of 10102337856 is 65873320101.

It can be written as a sum of positive squares in 8 ways, for example, as 4419590400 + 5682747456 = 66480^2 + 75384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10102337856.

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 47 ways as a sum of consecutive naturals, for example, 7764406 + ... + 7765706.

It is an arithmetic number, because the mean of its divisors is an integer number (99956493).

Almost surely, 2^10102337856 is an apocalyptic number.

10102337856 is a gapful number since it is divisible by the number (16) 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 10102337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792690824).

10102337856 is an abundant number, since it is smaller than the sum of its proper divisors (23483043792).

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

10102337856 is a wasteful number, since it uses less digits than its factorization.

10102337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 10102337856 its reverse (65873320101), we get a palindrome (75975657957).

The spelling of 10102337856 in words is "ten billion, one hundred two million, three hundred thirty-seven thousand, eight hundred fifty-six".