10068279900 has 432 divisors, whose sum is σ = 35841206016. Its totient is φ = 2171473920.

The previous prime is 10068279863. The next prime is 10068279929. The reversal of 10068279900 is 997286001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32795547 + ... + 32795853.

Almost surely, 2^10068279900 is an apocalyptic number.

10068279900 is a gapful number since it is divisible by the number (10) 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 10068279900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920603008).

10068279900 is an abundant number, since it is smaller than the sum of its proper divisors (25772926116).

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

10068279900 is a wasteful number, since it uses less digits than its factorization.

10068279900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10068279900 in words is "ten billion, sixty-eight million, two hundred seventy-nine thousand, nine hundred".