1031102016 has 112 divisors (see below), whose sum is σ = 3127004160. Its totient is φ = 293736960.

The previous prime is 1031101999. The next prime is 1031102063. The reversal of 1031102016 is 6102011301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1031101986 and 1031102004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562221 + ... + 564051.

It is an arithmetic number, because the mean of its divisors is an integer number (27919680).

Almost surely, 2^1031102016 is an apocalyptic number.

1031102016 is a gapful number since it is divisible by the number (16) 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 1031102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563502080).

1031102016 is an abundant number, since it is smaller than the sum of its proper divisors (2095902144).

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

1031102016 is a wasteful number, since it uses less digits than its factorization.

1031102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1031102016 is about 32110.7772562422. Note that the first 3 decimals coincide. The cubic root of 1031102016 is about 1010.2616764710.

Adding to 1031102016 its reverse (6102011301), we get a palindrome (7133113317).

The spelling of 1031102016 in words is "one billion, thirty-one million, one hundred two thousand, sixteen".