1102042000 has 80 divisors (see below), whose sum is σ = 2821573872. Its totient is φ = 414873600.

The previous prime is 1102041979. The next prime is 1102042001. The reversal of 1102042000 is 2402011.

It can be written as a sum of positive squares in 8 ways, for example, as 50466816 + 1051575184 = 7104^2 + 32428^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1102042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17794 + ... + 50206.

Almost surely, 2^1102042000 is an apocalyptic number.

1102042000 is a gapful number since it is divisible by the number (10) 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 1102042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410786936).

1102042000 is an abundant number, since it is smaller than the sum of its proper divisors (1719531872).

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

1102042000 is a wasteful number, since it uses less digits than its factorization.

1102042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32453 (or 32437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1102042000 is about 33197.0179383631. The cubic root of 1102042000 is about 1032.9184830280.

Adding to 1102042000 its reverse (2402011), we get a palindrome (1104444011).

The spelling of 1102042000 in words is "one billion, one hundred two million, forty-two thousand".