87105652749 has 20 divisors (see below), whose sum is σ = 130132080540. Its totient is φ = 58065396480.

The previous prime is 87105652729. The next prime is 87105652769. The reversal of 87105652749 is 94725650178.

87105652749 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 565 + 2 + 74 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (87105652729) and next prime (87105652769).

It can be written as a sum of positive squares in 2 ways, for example, as 58394722500 + 28710930249 = 241650^2 + 169443^2 .

It is not a de Polignac number, because 87105652749 - 2⁹ = 87105652237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87105652695 and 87105652704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87105652729) 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 19 ways as a sum of consecutive naturals, for example, 1051069 + ... + 1130909.

It is an arithmetic number, because the mean of its divisors is an integer number (6506604027).

Almost surely, 2^87105652749 is an apocalyptic number.

It is an amenable number.

87105652749 is a deficient number, since it is larger than the sum of its proper divisors (43026427791).

87105652749 is a wasteful number, since it uses less digits than its factorization.

87105652749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93322 (or 93313 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 87105652749 in words is "eighty-seven billion, one hundred five million, six hundred fifty-two thousand, seven hundred forty-nine".