10148302080 has 864 divisors, whose sum is σ = 42855321600. Its totient is φ = 2251431936.

The previous prime is 10148302061. The next prime is 10148302081. The reversal of 10148302080 is 8020384101.

10148302080 is a `hidden beast` number, since 101 + 483 + 0 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10148302081) 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, 128459481 + ... + 128459559.

Almost surely, 2^10148302080 is an apocalyptic number.

10148302080 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 10148302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427660800).

10148302080 is an abundant number, since it is smaller than the sum of its proper divisors (32707019520).

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

10148302080 is an frugal number, since it uses more digits than its factorization.

10148302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10148302080 its reverse (8020384101), we get a palindrome (18168686181).

The spelling of 10148302080 in words is "ten billion, one hundred forty-eight million, three hundred two thousand, eighty".