1095020400 has 120 divisors (see below), whose sum is σ = 3547473840. Its totient is φ = 288696320.

The previous prime is 1095020393. The next prime is 1095020419. The reversal of 1095020400 is 40205901.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 101674 + ... + 111926.

It is an arithmetic number, because the mean of its divisors is an integer number (29562282).

Almost surely, 2^1095020400 is an apocalyptic number.

1095020400 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 1095020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773736920).

1095020400 is an abundant number, since it is smaller than the sum of its proper divisors (2452453440).

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

1095020400 is a wasteful number, since it uses less digits than its factorization.

1095020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1095020400 is about 33091.0924570344. The cubic root of 1095020400 is about 1030.7200796231.

The spelling of 1095020400 in words is "one billion, ninety-five million, twenty thousand, four hundred".