1021106016 has 72 divisors (see below), whose sum is σ = 3318601104. Its totient is φ = 291744000.

The previous prime is 1021105951. The next prime is 1021106017. The reversal of 1021106016 is 6106011201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1021106016² = 2085314991822784512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1021106016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021106017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251235 + ... + 255266.

It is an arithmetic number, because the mean of its divisors is an integer number (46091682).

Almost surely, 2^1021106016 is an apocalyptic number.

1021106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1021106016 is an abundant number, since it is smaller than the sum of its proper divisors (2297495088).

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

1021106016 is a wasteful number, since it uses less digits than its factorization.

1021106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506524 (or 506513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1021106016 is about 31954.7495061376. The cubic root of 1021106016 is about 1006.9864150031.

Adding to 1021106016 its reverse (6106011201), we get a palindrome (7127117217).

The spelling of 1021106016 in words is "one billion, twenty-one million, one hundred six thousand, sixteen".