1010393000 has 64 divisors (see below), whose sum is σ = 2396880720. Its totient is φ = 398592000.

The previous prime is 1010392979. The next prime is 1010393009. The reversal of 1010393000 is 3930101.

It can be written as a sum of positive squares in 8 ways, for example, as 14485636 + 995907364 = 3806^2 + 31558^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010393000.

It is not an unprimeable number, because it can be changed into a prime (1010393009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66080 + ... + 79920.

Almost surely, 2^1010393000 is an apocalyptic number.

1010393000 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 1010393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198440360).

1010393000 is an abundant number, since it is smaller than the sum of its proper divisors (1386487720).

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

1010393000 is a wasteful number, since it uses less digits than its factorization.

1010393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1010393000 is about 31786.6796001092. The cubic root of 1010393000 is about 1003.4524005473.

The spelling of 1010393000 in words is "one billion, ten million, three hundred ninety-three thousand".