1020729300 has 144 divisors (see below), whose sum is σ = 3143048832. Its totient is φ = 254873600.

The previous prime is 1020729247. The next prime is 1020729319. The reversal of 1020729300 is 39270201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340920 + ... + 1341680.

It is an arithmetic number, because the mean of its divisors is an integer number (21826728).

Almost surely, 2^1020729300 is an apocalyptic number.

1020729300 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 1020729300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571524416).

1020729300 is an abundant number, since it is smaller than the sum of its proper divisors (2122319532).

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

1020729300 is a wasteful number, since it uses less digits than its factorization.

1020729300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1020729300 is about 31948.8544395570. The cubic root of 1020729300 is about 1006.8625641496.

Adding to 1020729300 its reverse (39270201), we get a palindrome (1059999501).

The spelling of 1020729300 in words is "one billion, twenty million, seven hundred twenty-nine thousand, three hundred".