103058984028 has 288 divisors, whose sum is σ = 330852791808. Its totient is φ = 24542784000.

The previous prime is 103058983961. The next prime is 103058984143. The reversal of 103058984028 is 820489850301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12692626 + ... + 12700742.

It is an arithmetic number, because the mean of its divisors is an integer number (1148794416).

Almost surely, 2^103058984028 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 103058984028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165426395904).

103058984028 is an abundant number, since it is smaller than the sum of its proper divisors (227793807780).

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

103058984028 is a wasteful number, since it uses less digits than its factorization.

103058984028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 103058984028 in words is "one hundred three billion, fifty-eight million, nine hundred eighty-four thousand, twenty-eight".