1016103960 has 128 divisors (see below), whose sum is σ = 3403008000. Its totient is φ = 269682048.

The previous prime is 1016103947. The next prime is 1016103971. The reversal of 1016103960 is 693016101.

1016103960 is a `hidden beast` number, since 10 + 1 + 610 + 39 + 6 + 0 = 666.

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

It is a congruent number.

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, 238731 + ... + 242949.

It is an arithmetic number, because the mean of its divisors is an integer number (26586000).

Almost surely, 2^1016103960 is an apocalyptic number.

1016103960 is a gapful number since it is divisible by the number (10) 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 1016103960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701504000).

1016103960 is an abundant number, since it is smaller than the sum of its proper divisors (2386904040).

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

1016103960 is a wasteful number, since it uses less digits than its factorization.

1016103960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1016103960 is about 31876.3856169422. The cubic root of 1016103960 is about 1005.3394264504.

It can be divided in two parts, 101610 and 3960, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 1016103960 in words is "one billion, sixteen million, one hundred three thousand, nine hundred sixty".