1082095200 has 180 divisors, whose sum is σ = 3946427100. Its totient is φ = 288541440.

The previous prime is 1082095187. The next prime is 1082095213. The reversal of 1082095200 is 25902801.

It is an interprime number because it is at equal distance from previous prime (1082095187) and next prime (1082095213).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 56451 + ... + 73149.

It is an arithmetic number, because the mean of its divisors is an integer number (21924595).

Almost surely, 2^1082095200 is an apocalyptic number.

1082095200 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 1082095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973213550).

1082095200 is an abundant number, since it is smaller than the sum of its proper divisors (2864331900).

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

1082095200 is a wasteful number, since it uses less digits than its factorization.

1082095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16731 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1082095200 is about 32895.2154575707. The cubic root of 1082095200 is about 1026.6486100908.

The spelling of 1082095200 in words is "one billion, eighty-two million, ninety-five thousand, two hundred".