1085145600 has 480 divisors, whose sum is σ = 4481427456. Its totient is φ = 224870400.

The previous prime is 1085145571. The next prime is 1085145623. The reversal of 1085145600 is 65415801.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956617 + ... + 2956983.

Almost surely, 2^1085145600 is an apocalyptic number.

1085145600 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 1085145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240713728).

1085145600 is an abundant number, since it is smaller than the sum of its proper divisors (3396281856).

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

1085145600 is a wasteful number, since it uses less digits than its factorization.

1085145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1085145600 is about 32941.5482331963. The cubic root of 1085145600 is about 1027.6124041580.

The spelling of 1085145600 in words is "one billion, eighty-five million, one hundred forty-five thousand, six hundred".