10187019864 has 128 divisors (see below), whose sum is σ = 33383116800. Its totient is φ = 2816674560.

The previous prime is 10187019823. The next prime is 10187019893. The reversal of 10187019864 is 46891078101.

It is a happy number.

10187019864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 61797 + ... + 155540.

It is an arithmetic number, because the mean of its divisors is an integer number (260805600).

Almost surely, 2^10187019864 is an apocalyptic number.

10187019864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10187019864 is an abundant number, since it is smaller than the sum of its proper divisors (23196096936).

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

10187019864 is a wasteful number, since it uses less digits than its factorization.

10187019864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217390 (or 217380 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10187019864 in words is "ten billion, one hundred eighty-seven million, nineteen thousand, eight hundred sixty-four".