1150102800 has 600 divisors, whose sum is σ = 5157294912. Its totient is φ = 238464000.

The previous prime is 1150102799. The next prime is 1150102817. The reversal of 1150102800 is 82010511.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2494570 + ... + 2495030.

Almost surely, 2^1150102800 is an apocalyptic number.

1150102800 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 1150102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578647456).

1150102800 is an abundant number, since it is smaller than the sum of its proper divisors (4007192112).

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

1150102800 is a wasteful number, since it uses less digits than its factorization.

1150102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1150102800 is about 33913.1655850645. The cubic root of 1150102800 is about 1047.7207703534.

The spelling of 1150102800 in words is "one billion, one hundred fifty million, one hundred two thousand, eight hundred".