1020107664 has 60 divisors (see below), whose sum is σ = 2857134592. Its totient is φ = 339768000.

The previous prime is 1020107659. The next prime is 1020107717. The reversal of 1020107664 is 4667010201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279129 + ... + 282759.

Almost surely, 2^1020107664 is an apocalyptic number.

It is an amenable number.

1020107664 is an abundant number, since it is smaller than the sum of its proper divisors (1837026928).

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

1020107664 is a wasteful number, since it uses less digits than its factorization.

1020107664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1020107664 is about 31939.1243461683. The cubic root of 1020107664 is about 1006.6581256433.

Adding to 1020107664 its reverse (4667010201), we get a palindrome (5687117865).

The spelling of 1020107664 in words is "one billion, twenty million, one hundred seven thousand, six hundred sixty-four".