10102989600 has 576 divisors, whose sum is σ = 40351167360. Its totient is φ = 2419200000.

The previous prime is 10102989583. The next prime is 10102989607. The reversal of 10102989600 is 698920101.

10102989600 is a `hidden beast` number, since 10 + 10 + 29 + 8 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10102989607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23997390 + ... + 23997810.

It is an arithmetic number, because the mean of its divisors is an integer number (70054110).

Almost surely, 2^10102989600 is an apocalyptic number.

10102989600 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 10102989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175583680).

10102989600 is an abundant number, since it is smaller than the sum of its proper divisors (30248177760).

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

10102989600 is a wasteful number, since it uses less digits than its factorization.

10102989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10102989600 in words is "ten billion, one hundred two million, nine hundred eighty-nine thousand, six hundred".