103006088064 has 864 divisors, whose sum is σ = 362838949200. Its totient is φ = 27967610880.

The previous prime is 103006088057. The next prime is 103006088089. The reversal of 103006088064 is 460880600301.

It is a happy number.

103006088064 is a `hidden beast` number, since 10 + 30 + 0 + 608 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×103006088064² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1157371732 + ... + 1157371820.

Almost surely, 2^103006088064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103006088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181419474600).

103006088064 is an abundant number, since it is smaller than the sum of its proper divisors (259832861136).

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

103006088064 is a wasteful number, since it uses less digits than its factorization.

103006088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 103006088064 its reverse (460880600301), we get a palindrome (563886688365).

The spelling of 103006088064 in words is "one hundred three billion, six million, eighty-eight thousand, sixty-four".