1029100077 has 6 divisors (see below), whose sum is σ = 1486477902. Its totient is φ = 686066712.

The previous prime is 1029100069. The next prime is 1029100133. The reversal of 1029100077 is 7700019201.

It can be written as a sum of positive squares in only one way, i.e., 580761801 + 448338276 = 24099^2 + 21174^2 .

It is not a de Polignac number, because 1029100077 - 2³ = 1029100069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1029100077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029100067) 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 5 ways as a sum of consecutive naturals, for example, 57172218 + ... + 57172235.

It is an arithmetic number, because the mean of its divisors is an integer number (247746317).

Almost surely, 2^1029100077 is an apocalyptic number.

It is an amenable number.

1029100077 is a deficient number, since it is larger than the sum of its proper divisors (457377825).

1029100077 is a wasteful number, since it uses less digits than its factorization.

1029100077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114344459 (or 114344456 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1029100077 is about 32079.5897261795. The cubic root of 1029100077 is about 1009.6074274082.

Adding to 1029100077 its reverse (7700019201), we get a palindrome (8729119278).

The spelling of 1029100077 in words is "one billion, twenty-nine million, one hundred thousand, seventy-seven".