1029068224900 has 81 divisors (see below), whose sum is σ = 2271652009263. Its totient is φ = 404635838400.

The previous prime is 1029068224897. The next prime is 1029068224969. The reversal of 1029068224900 is 94228609201.

It is a happy number.

The square root of 1029068224900 is 1014430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 474007464324 + 555060760576 = 688482^2 + 745024^2 .

It is a super-2 number, since 2×1029068224900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 618801469 + ... + 618803131.

Almost surely, 2^{1029068224900} is an apocalyptic number.

1029068224900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1029068224900 is the 1014430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029068224900

1029068224900 is an abundant number, since it is smaller than the sum of its proper divisors (1242583784363).

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

1029068224900 is an frugal number, since it uses more digits than its factorization.

1029068224900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 1029068224900 in words is "one trillion, twenty-nine billion, sixty-eight million, two hundred twenty-four thousand, nine hundred".