9868427100 has 288 divisors, whose sum is σ = 38167001600. Its totient is φ = 2136844800.

The previous prime is 9868427089. The next prime is 9868427117. The reversal of 9868427100 is 17248689.

9868427100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 345360 + ... + 372840.

Almost surely, 2^9868427100 is an apocalyptic number.

9868427100 is a gapful number since it is divisible by the number (90) 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 9868427100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083500800).

9868427100 is an abundant number, since it is smaller than the sum of its proper divisors (28298574500).

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

9868427100 is a wasteful number, since it uses less digits than its factorization.

9868427100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27530 (or 27517 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9868427100 is about 99339.9572176272. The cubic root of 9868427100 is about 2144.9441033896.

The spelling of 9868427100 in words is "nine billion, eight hundred sixty-eight million, four hundred twenty-seven thousand, one hundred".