10082149980 has 192 divisors, whose sum is σ = 33219271680. Its totient is φ = 2236502016.

The previous prime is 10082149969. The next prime is 10082149991. The reversal of 10082149980 is 8994128001.

10082149980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10082149969) and next prime (10082149991).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9991716 + ... + 9992724.

It is an arithmetic number, because the mean of its divisors is an integer number (173017040).

Almost surely, 2^10082149980 is an apocalyptic number.

10082149980 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 10082149980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609635840).

10082149980 is an abundant number, since it is smaller than the sum of its proper divisors (23137121700).

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

10082149980 is a wasteful number, since it uses less digits than its factorization.

10082149980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 10082149980 in words is "ten billion, eighty-two million, one hundred forty-nine thousand, nine hundred eighty".