1085006077 has 12 divisors (see below), whose sum is σ = 1152204960. Its totient is φ = 1021538952.

The previous prime is 1085006063. The next prime is 1085006101. The reversal of 1085006077 is 7706005801.

It is not a de Polignac number, because 1085006077 - 2⁷ = 1085005949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085006177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49624 + ... + 68062.

It is an arithmetic number, because the mean of its divisors is an integer number (96017080).

Almost surely, 2^1085006077 is an apocalyptic number.

It is an amenable number.

1085006077 is a deficient number, since it is larger than the sum of its proper divisors (67198883).

1085006077 is a wasteful number, since it uses less digits than its factorization.

1085006077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18640 (or 18621 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 1085006077 is about 32939.4304291984. The cubic root of 1085006077 is about 1027.5683603877.

The spelling of 1085006077 in words is "one billion, eighty-five million, six thousand, seventy-seven".