1102252800 has 432 divisors, whose sum is σ = 4215480192. Its totient is φ = 250675200.

The previous prime is 1102252729. The next prime is 1102252831. The reversal of 1102252800 is 82522011.

It is a happy number.

It is a super-2 number, since 2×1102252800² = 2429922470215680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590247 + ... + 3590553.

It is an arithmetic number, because the mean of its divisors is an integer number (9758056).

Almost surely, 2^1102252800 is an apocalyptic number.

1102252800 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 1102252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107740096).

1102252800 is an abundant number, since it is smaller than the sum of its proper divisors (3113227392).

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

1102252800 is a wasteful number, since it uses less digits than its factorization.

1102252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1102252800 is about 33200.1927705247. The cubic root of 1102252800 is about 1032.9843381511.

Adding to 1102252800 its reverse (82522011), we get a palindrome (1184774811).

The spelling of 1102252800 in words is "one billion, one hundred two million, two hundred fifty-two thousand, eight hundred".