1100103312 has 240 divisors, whose sum is σ = 3650819904. Its totient is φ = 282240000.

The previous prime is 1100103311. The next prime is 1100103343. The reversal of 1100103312 is 2133010011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100103311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612862 + ... + 2613282.

Almost surely, 2^1100103312 is an apocalyptic number.

1100103312 is a gapful number since it is divisible by the number (12) 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 1100103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825409952).

1100103312 is an abundant number, since it is smaller than the sum of its proper divisors (2550716592).

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

1100103312 is a wasteful number, since it uses less digits than its factorization.

1100103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1100103312 is about 33167.8053539875. The cubic root of 1100103312 is about 1032.3124316942.

Adding to 1100103312 its reverse (2133010011), we get a palindrome (3233113323).

The spelling of 1100103312 in words is "one billion, one hundred million, one hundred three thousand, three hundred twelve".