1077105288 has 128 divisors (see below), whose sum is σ = 3266150400. Its totient is φ = 289142784.

The previous prime is 1077105277. The next prime is 1077105313. The reversal of 1077105288 is 8825017701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404056 + ... + 406712.

It is an arithmetic number, because the mean of its divisors is an integer number (25516800).

Almost surely, 2^1077105288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077105288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633075200).

1077105288 is an abundant number, since it is smaller than the sum of its proper divisors (2189045112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1077105288 is a wasteful number, since it uses less digits than its factorization.

1077105288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 1077105288 is about 32819.2822590623. The cubic root of 1077105288 is about 1025.0681019197.

The spelling of 1077105288 in words is "one billion, seventy-seven million, one hundred five thousand, two hundred eighty-eight".