10102126608 has 480 divisors, whose sum is σ = 35179462656. Its totient is φ = 2644088832.

The previous prime is 10102126589. The next prime is 10102126609. The reversal of 10102126608 is 80662120101.

10102126608 is a `hidden beast` number, since 1 + 0 + 10 + 21 + 26 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (10102126609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79544241 + ... + 79544367.

Almost surely, 2^10102126608 is an apocalyptic number.

10102126608 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 10102126608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17589731328).

10102126608 is an abundant number, since it is smaller than the sum of its proper divisors (25077336048).

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

10102126608 is a wasteful number, since it uses less digits than its factorization.

10102126608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10102126608 its reverse (80662120101), we get a palindrome (90764246709).

The spelling of 10102126608 in words is "ten billion, one hundred two million, one hundred twenty-six thousand, six hundred eight".