1070145200 has 60 divisors (see below), whose sum is σ = 2574980280. Its totient is φ = 427399680.

The previous prime is 1070145187. The next prime is 1070145217. The reversal of 1070145200 is 25410701.

It is a super-2 number, since 2×1070145200² = 2290421498166080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321947 + ... + 325253.

It is an arithmetic number, because the mean of its divisors is an integer number (42916338).

Almost surely, 2^1070145200 is an apocalyptic number.

1070145200 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 1070145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287490140).

1070145200 is an abundant number, since it is smaller than the sum of its proper divisors (1504835080).

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

1070145200 is a wasteful number, since it uses less digits than its factorization.

1070145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1070145200 is about 32713.0738390632. The cubic root of 1070145200 is about 1022.8553850617.

Adding to 1070145200 its reverse (25410701), we get a palindrome (1095555901).

The spelling of 1070145200 in words is "one billion, seventy million, one hundred forty-five thousand, two hundred".