1016103984 has 180 divisors, whose sum is σ = 3141966312. Its totient is φ = 282132480.

The previous prime is 1016103971. The next prime is 1016103997. The reversal of 1016103984 is 4893016101.

It is an interprime number because it is at equal distance from previous prime (1016103971) and next prime (1016103997).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3953584 + ... + 3953840.

Almost surely, 2^1016103984 is an apocalyptic number.

1016103984 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 1016103984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570983156).

1016103984 is an abundant number, since it is smaller than the sum of its proper divisors (2125862328).

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

1016103984 is a wasteful number, since it uses less digits than its factorization.

1016103984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1016103984 is about 31876.3859933964. The cubic root of 1016103984 is about 1005.3394343657.

The spelling of 1016103984 in words is "one billion, sixteen million, one hundred three thousand, nine hundred eighty-four".