1030107077 has 2 divisors, whose sum is σ = 1030107078. Its totient is φ = 1030107076.

The previous prime is 1030107053. The next prime is 1030107079. The reversal of 1030107077 is 7707010301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 799249441 + 230857636 = 28271^2 + 15194^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1030107077 is a prime.

It is a super-2 number, since 2×1030107077² = 2122241180170967858, which contains 22 as substring.

Together with 1030107079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030107079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515053538 + 515053539.

It is an arithmetic number, because the mean of its divisors is an integer number (515053539).

Almost surely, 2^1030107077 is an apocalyptic number.

It is an amenable number.

1030107077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030107077 is an equidigital number, since it uses as much as digits as its factorization.

1030107077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1029, while the sum is 26.

The square root of 1030107077 is about 32095.2812263734. The cubic root of 1030107077 is about 1009.9366287070.

Adding to 1030107077 its reverse (7707010301), we get a palindrome (8737117378).

The spelling of 1030107077 in words is "one billion, thirty million, one hundred seven thousand, seventy-seven".