1102112016 has 40 divisors (see below), whose sum is σ = 2913340320. Its totient is φ = 358826496.

The previous prime is 1102111993. The next prime is 1102112017. The reversal of 1102112016 is 6102112011.

It is a happy number.

It is a super-3 number, since 3×1102112016³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102111986 and 1102112004.

It is not an unprimeable number, because it can be changed into a prime (1102112017) by changing a digit.

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, 264921 + ... + 269048.

It is an arithmetic number, because the mean of its divisors is an integer number (72833508).

Almost surely, 2^1102112016 is an apocalyptic number.

1102112016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1102112016 is an abundant number, since it is smaller than the sum of its proper divisors (1811228304).

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

1102112016 is a wasteful number, since it uses less digits than its factorization.

1102112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534023 (or 534017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1102112016 is about 33198.0724741663. The cubic root of 1102112016 is about 1032.9403573574.

Adding to 1102112016 its reverse (6102112011), we get a palindrome (7204224027).

The spelling of 1102112016 in words is "one billion, one hundred two million, one hundred twelve thousand, sixteen".