10187182080 has 624 divisors, whose sum is σ = 38640551040. Its totient is φ = 2569273344.

The previous prime is 10187182079. The next prime is 10187182081. The reversal of 10187182080 is 8028178101.

It is an interprime number because it is at equal distance from previous prime (10187182079) and next prime (10187182081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187182081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114462676 + ... + 114462764.

It is an arithmetic number, because the mean of its divisors is an integer number (61923960).

Almost surely, 2^10187182080 is an apocalyptic number.

10187182080 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 10187182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320275520).

10187182080 is an abundant number, since it is smaller than the sum of its proper divisors (28453368960).

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

10187182080 is an frugal number, since it uses more digits than its factorization.

10187182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 10187182080 in words is "ten billion, one hundred eighty-seven million, one hundred eighty-two thousand, eighty".