103028328534144 has 256 divisors, whose sum is σ = 304906828464000. Its totient is φ = 30605516734464.

The previous prime is 103028328534119. The next prime is 103028328534217. The reversal of 103028328534144 is 441435823820301.

It is a super-2 number, since 2×103028328534144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 103028328534093 and 103028328534102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997693792 + ... + 2997728160.

Almost surely, 2^{103028328534144} 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 103028328534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152453414232000).

103028328534144 is an abundant number, since it is smaller than the sum of its proper divisors (201878499929856).

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

103028328534144 is a wasteful number, since it uses less digits than its factorization.

103028328534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55135 (or 55123 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 103028328534144 in words is "one hundred three trillion, twenty-eight billion, three hundred twenty-eight million, five hundred thirty-four thousand, one hundred forty-four".