1016249300 has 72 divisors (see below), whose sum is σ = 2441822880. Its totient is φ = 364003200.

The previous prime is 1016249281. The next prime is 1016249303. The reversal of 1016249300 is 39426101.

It is a self number, because there is not a number n which added to its sum of digits gives 1016249300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016249303) 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 23 ways as a sum of consecutive naturals, for example, 66806 + ... + 80594.

Almost surely, 2^1016249300 is an apocalyptic number.

1016249300 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 1016249300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220911440).

1016249300 is an abundant number, since it is smaller than the sum of its proper divisors (1425573580).

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

1016249300 is a wasteful number, since it uses less digits than its factorization.

1016249300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1016249300 is about 31878.6652794624. The cubic root of 1016249300 is about 1005.3873575913.

The spelling of 1016249300 in words is "one billion, sixteen million, two hundred forty-nine thousand, three hundred".