77106505 has 16 divisors (see below), whose sum is σ = 109393920. Its totient is φ = 51049152.

The previous prime is 77106499. The next prime is 77106539. The reversal of 77106505 is 50560177.

It is not a de Polignac number, because 77106505 - 2⁵ = 77106473 is a prime.

It is a super-2 number, since 2×77106505² = 11890826226630050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36969 + ... + 38998.

It is an arithmetic number, because the mean of its divisors is an integer number (6837120).

Almost surely, 2^77106505 is an apocalyptic number.

It is an amenable number.

77106505 is a deficient number, since it is larger than the sum of its proper divisors (32287415).

77106505 is a wasteful number, since it uses less digits than its factorization.

77106505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76008.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 77106505 is about 8781.0309759162. The cubic root of 77106505 is about 425.6281461195.

The spelling of 77106505 in words is "seventy-seven million, one hundred six thousand, five hundred five".