1005145600 has 120 divisors (see below), whose sum is σ = 2622030840. Its totient is φ = 380805120.

The previous prime is 1005145579. The next prime is 1005145667. The reversal of 1005145600 is 65415001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241134 + ... + 245266.

It is an arithmetic number, because the mean of its divisors is an integer number (21850257).

Almost surely, 2^1005145600 is an apocalyptic number.

1005145600 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 1005145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311015420).

1005145600 is an abundant number, since it is smaller than the sum of its proper divisors (1616885240).

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

1005145600 is an equidigital number, since it uses as much as digits as its factorization.

1005145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1005145600 is about 31704.0312894118. The cubic root of 1005145600 is about 1001.7122664702.

The spelling of 1005145600 in words is "one billion, five million, one hundred forty-five thousand, six hundred".