77115105 has 16 divisors (see below), whose sum is σ = 137093760. Its totient is φ = 41127984.

The previous prime is 77115061. The next prime is 77115121. The reversal of 77115105 is 50151177.

It is not a de Polignac number, because 77115105 - 2¹⁹ = 76590817 is a prime.

It is a super-2 number, since 2×77115105² = 11893478838322050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285477 + ... + 285746.

It is an arithmetic number, because the mean of its divisors is an integer number (8568360).

Almost surely, 2^77115105 is an apocalyptic number.

It is an amenable number.

77115105 is a deficient number, since it is larger than the sum of its proper divisors (59978655).

77115105 is a wasteful number, since it uses less digits than its factorization.

77115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571237 (or 571231 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The square root of 77115105 is about 8781.5206541920. The cubic root of 77115105 is about 425.6439695401.

It can be divided in two parts, 771 and 15105, that added together give a square (15876 = 126²).

The spelling of 77115105 in words is "seventy-seven million, one hundred fifteen thousand, one hundred five".