1072104049 has 9 divisors (see below), whose sum is σ = 1084524427. Its totient is φ = 1059825424.

The previous prime is 1072104041. The next prime is 1072104071. The reversal of 1072104049 is 9404012701.

The square root of 1072104049 is 32743.

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

It can be written as a sum of positive squares in only one way, i.e., 629759025 + 442345024 = 25095^2 + 21032^2 .

It is not a de Polignac number, because 1072104049 - 2³ = 1072104041 is a prime.

It is a super-2 number, since 2×1072104049² = 2298814183764388802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1072104041) 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 8 ways as a sum of consecutive naturals, for example, 4485672 + ... + 4485910.

Almost surely, 2^1072104049 is an apocalyptic number.

1072104049 is the 32743-rd square number.

1072104049 is the 16372-nd centered octagonal number.

It is an amenable number.

1072104049 is a deficient number, since it is larger than the sum of its proper divisors (12420378).

1072104049 is an frugal number, since it uses more digits than its factorization.

1072104049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 1072104049 is about 1023.4791004168.

The spelling of 1072104049 in words is "one billion, seventy-two million, one hundred four thousand, forty-nine".