1100402016 has 144 divisors (see below), whose sum is σ = 3374103600. Its totient is φ = 313098240.

The previous prime is 1100402011. The next prime is 1100402029. The reversal of 1100402016 is 6102040011.

It is a junction number, because it is equal to n+sod(n) for n = 1100401986 and 1100402004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100402011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2111836 + ... + 2112356.

It is an arithmetic number, because the mean of its divisors is an integer number (23431275).

Almost surely, 2^1100402016 is an apocalyptic number.

1100402016 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 1100402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687051800).

1100402016 is an abundant number, since it is smaller than the sum of its proper divisors (2273701584).

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

1100402016 is a wasteful number, since it uses less digits than its factorization.

1100402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1100402016 is about 33172.3079691480. The cubic root of 1100402016 is about 1032.4058556313.

Adding to 1100402016 its reverse (6102040011), we get a palindrome (7202442027).

The spelling of 1100402016 in words is "one billion, one hundred million, four hundred two thousand, sixteen".