1089660100 has 27 divisors (see below), whose sum is σ = 2365278951. Its totient is φ = 435732000.

The previous prime is 1089660083. The next prime is 1089660113. The reversal of 1089660100 is 10669801.

It is a happy number.

The square root of 1089660100 is 33010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 210656196 + 879003904 = 14514^2 + 29648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 328450 + ... + 331750.

Almost surely, 2^1089660100 is an apocalyptic number.

1089660100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1089660100 is the 33010-th square number.

It is an amenable number.

1089660100 is an abundant number, since it is smaller than the sum of its proper divisors (1275618851).

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

1089660100 is an frugal number, since it uses more digits than its factorization.

1089660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The cubic root of 1089660100 is about 1029.0354812837.

The spelling of 1089660100 in words is "one billion, eighty-nine million, six hundred sixty thousand, one hundred".