103003332233004 has 192 divisors, whose sum is σ = 308235491665920. Its totient is φ = 29136374265600.

The previous prime is 103003332232963. The next prime is 103003332233017. The reversal of 103003332233004 is 400332233300301.

It is a happy number.

103003332233004 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 3 + 3 + 322 + 330 + 0 + 4 = 666.

It is a super-2 number, since 2×103003332233004² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1746766729 + ... + 1746825695.

It is an arithmetic number, because the mean of its divisors is an integer number (1605393185760).

Almost surely, 2^{103003332233004} is an apocalyptic number.

103003332233004 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 103003332233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154117745832960).

103003332233004 is an abundant number, since it is smaller than the sum of its proper divisors (205232159432916).

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

103003332233004 is a wasteful number, since it uses less digits than its factorization.

103003332233004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81965 (or 81957 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 103003332233004 its reverse (400332233300301), we get a palindrome (503335565533305).

The spelling of 103003332233004 in words is "one hundred three trillion, three billion, three hundred thirty-two million, two hundred thirty-three thousand, four".