10077002671 has 16 divisors (see below), whose sum is σ = 10726587648. Its totient is φ = 9433840000.

The previous prime is 10077002669. The next prime is 10077002687. The reversal of 10077002671 is 17620077001.

It is a cyclic number.

It is not a de Polignac number, because 10077002671 - 2¹ = 10077002669 is a prime.

It is a super-2 number, since 2×10077002671² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077002471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5217576 + ... + 5219506.

It is an arithmetic number, because the mean of its divisors is an integer number (670411728).

Almost surely, 2^10077002671 is an apocalyptic number.

10077002671 is a deficient number, since it is larger than the sum of its proper divisors (649584977).

10077002671 is a wasteful number, since it uses less digits than its factorization.

10077002671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422.

The product of its (nonzero) digits is 4116, while the sum is 31.

Adding to 10077002671 its reverse (17620077001), we get a palindrome (27697079672).

The spelling of 10077002671 in words is "ten billion, seventy-seven million, two thousand, six hundred seventy-one".