10296106128 has 320 divisors, whose sum is σ = 37237616640. Its totient is φ = 2645913600.

The previous prime is 10296106127. The next prime is 10296106133. The reversal of 10296106128 is 82160169201.

10296106128 is a `hidden beast` number, since 1 + 0 + 29 + 6 + 10 + 612 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10296106092 and 10296106101.

It is not an unprimeable number, because it can be changed into a prime (10296106123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3225013 + ... + 3228203.

It is an arithmetic number, because the mean of its divisors is an integer number (116367552).

Almost surely, 2^10296106128 is an apocalyptic number.

10296106128 is a gapful number since it is divisible by the number (18) 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 10296106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618808320).

10296106128 is an abundant number, since it is smaller than the sum of its proper divisors (26941510512).

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

10296106128 is a wasteful number, since it uses less digits than its factorization.

10296106128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10296106128 in words is "ten billion, two hundred ninety-six million, one hundred six thousand, one hundred twenty-eight".