1020557100 has 72 divisors (see below), whose sum is σ = 2956092048. Its totient is φ = 271846400.

The previous prime is 1020557093. The next prime is 1020557113. The reversal of 1020557100 is 17550201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443152 + ... + 445448.

It is an arithmetic number, because the mean of its divisors is an integer number (41056834).

Almost surely, 2^1020557100 is an apocalyptic number.

1020557100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020557100 is an abundant number, since it is smaller than the sum of its proper divisors (1935534948).

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

1020557100 is a wasteful number, since it uses less digits than its factorization.

1020557100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1020557100 is about 31946.1593935797. The cubic root of 1020557100 is about 1006.8059407515.

The spelling of 1020557100 in words is "one billion, twenty million, five hundred fifty-seven thousand, one hundred".