1016105952 has 48 divisors (see below), whose sum is σ = 2732344272. Its totient is φ = 330439680.

The previous prime is 1016105939. The next prime is 1016105971. The reversal of 1016105952 is 2595016101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125143 + ... + 133014.

It is an arithmetic number, because the mean of its divisors is an integer number (56923839).

Almost surely, 2^1016105952 is an apocalyptic number.

1016105952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1016105952 is an abundant number, since it is smaller than the sum of its proper divisors (1716238320).

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

1016105952 is a wasteful number, since it uses less digits than its factorization.

1016105952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258211 (or 258203 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 1016105952 is about 31876.4168626275. The cubic root of 1016105952 is about 1005.3400834156.

The spelling of 1016105952 in words is "one billion, sixteen million, one hundred five thousand, nine hundred fifty-two".