1010641016 has 64 divisors (see below), whose sum is σ = 2367809280. Its totient is φ = 392878080.

The previous prime is 1010640949. The next prime is 1010641019. The reversal of 1010641016 is 6101460101.

1010641016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010641019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320600 + ... + 323736.

It is an arithmetic number, because the mean of its divisors is an integer number (36997020).

Almost surely, 2^1010641016 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 1010641016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183904640).

1010641016 is an abundant number, since it is smaller than the sum of its proper divisors (1357168264).

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

1010641016 is a wasteful number, since it uses less digits than its factorization.

1010641016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1010641016 is about 31790.5806175351. The cubic root of 1010641016 is about 1003.5344979392.

The spelling of 1010641016 in words is "one billion, ten million, six hundred forty-one thousand, sixteen".