1035163804900 has 81 divisors (see below), whose sum is σ = 2279980221883. Its totient is φ = 407948732800.

The previous prime is 1035163804897. The next prime is 1035163804903. The reversal of 1035163804900 is 94083615301.

The square root of 1035163804900 is 1017430.

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

It is an interprime number because it is at equal distance from previous prime (1035163804897) and next prime (1035163804903).

It can be written as a sum of positive squares in 4 ways, for example, as 48256666276 + 986907138624 = 219674^2 + 993432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1035163804903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 722374584 + ... + 722376016.

Almost surely, 2^{1035163804900} is an apocalyptic number.

1035163804900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1035163804900 is the 1017430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035163804900

1035163804900 is an abundant number, since it is smaller than the sum of its proper divisors (1244816416983).

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

1035163804900 is an frugal number, since it uses more digits than its factorization.

1035163804900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 1035163804900 in words is "one trillion, thirty-five billion, one hundred sixty-three million, eight hundred four thousand, nine hundred".