1020166600 has 96 divisors (see below), whose sum is σ = 2592691200. Its totient is φ = 371635200.

The previous prime is 1020166597. The next prime is 1020166657. The reversal of 1020166600 is 66610201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100561 + ... + 110239.

It is an arithmetic number, because the mean of its divisors is an integer number (27007200).

Almost surely, 2^1020166600 is an apocalyptic number.

1020166600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020166600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296345600).

1020166600 is an abundant number, since it is smaller than the sum of its proper divisors (1572524600).

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

1020166600 is a wasteful number, since it uses less digits than its factorization.

1020166600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1020166600 is about 31940.0469630212. The cubic root of 1020166600 is about 1006.6775115907.

Adding to 1020166600 its reverse (66610201), we get a palindrome (1086776801).

The spelling of 1020166600 in words is "one billion, twenty million, one hundred sixty-six thousand, six hundred".