103065864192 has 288 divisors, whose sum is σ = 315577080000. Its totient is φ = 32314982400.

The previous prime is 103065864179. The next prime is 103065864197. The reversal of 103065864192 is 291468560301.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103065864197) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52880434 + ... + 52882382.

It is an arithmetic number, because the mean of its divisors is an integer number (1095753750).

Almost surely, 2^103065864192 is an apocalyptic number.

103065864192 is a gapful number since it is divisible by the number (12) 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 103065864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157788540000).

103065864192 is an abundant number, since it is smaller than the sum of its proper divisors (212511215808).

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

103065864192 is a wasteful number, since it uses less digits than its factorization.

103065864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 103065864192 in words is "one hundred three billion, sixty-five million, eight hundred sixty-four thousand, one hundred ninety-two".