1102042144 has 144 divisors (see below), whose sum is σ = 2617839000. Its totient is φ = 455110656.

The previous prime is 1102042129. The next prime is 1102042163. The reversal of 1102042144 is 4412402011.

It can be written as a sum of positive squares in 4 ways, for example, as 685392400 + 416649744 = 26180^2 + 20412^2 .

It is an unprimeable number.

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, 7396182 + ... + 7396330.

Almost surely, 2^1102042144 is an apocalyptic number.

1102042144 is a gapful number since it is divisible by the number (14) 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 1102042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308919500).

1102042144 is an abundant number, since it is smaller than the sum of its proper divisors (1515796856).

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

1102042144 is a wasteful number, since it uses less digits than its factorization.

1102042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1102042144 is about 33197.0201072325. The cubic root of 1102042144 is about 1032.9185280173.

Adding to 1102042144 its reverse (4412402011), we get a palindrome (5514444155).

The spelling of 1102042144 in words is "one billion, one hundred two million, forty-two thousand, one hundred forty-four".