1100070016 has 64 divisors (see below), whose sum is σ = 2269191960. Its totient is φ = 530841600.

The previous prime is 1100069969. The next prime is 1100070071. The reversal of 1100070016 is 6100700011.

It can be written as a sum of positive squares in 4 ways, for example, as 711822400 + 388247616 = 26680^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507976 + ... + 510136.

Almost surely, 2^1100070016 is an apocalyptic number.

1100070016 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 1100070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134595980).

1100070016 is an abundant number, since it is smaller than the sum of its proper divisors (1169121944).

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

1100070016 is an equidigital number, since it uses as much as digits as its factorization.

1100070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 1100070016 is about 33167.3034176733. The cubic root of 1100070016 is about 1032.3020168476.

Adding to 1100070016 its reverse (6100700011), we get a palindrome (7200770027).

The spelling of 1100070016 in words is "one billion, one hundred million, seventy thousand, sixteen".