103002306511104 has 2592 divisors, whose sum is σ = 420316187719680. Its totient is φ = 24156311961600.

The previous prime is 103002306511099. The next prime is 103002306511109. The reversal of 103002306511104 is 401115603200301.

It is a happy number.

103002306511104 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 2 + 3 + 0 + 651 + 1 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103002306511099) and next prime (103002306511109).

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

It is not an unprimeable number, because it can be changed into a prime (103002306511109) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 811041783489 + ... + 811041783615.

It is an arithmetic number, because the mean of its divisors is an integer number (162159023040).

Almost surely, 2^{103002306511104} is an apocalyptic number.

103002306511104 is a gapful number since it is divisible by the number (14) 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 103002306511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210158093859840).

103002306511104 is an abundant number, since it is smaller than the sum of its proper divisors (317313881208576).

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

103002306511104 is a wasteful number, since it uses less digits than its factorization.

103002306511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 103002306511104 its reverse (401115603200301), we get a palindrome (504117909711405).

The spelling of 103002306511104 in words is "one hundred three trillion, two billion, three hundred six million, five hundred eleven thousand, one hundred four".