102661280 has 24 divisors (see below), whose sum is σ = 242537652. Its totient is φ = 41064448.

The previous prime is 102661241. The next prime is 102661297. The reversal of 102661280 is 82166201.

It can be written as a sum of positive squares in 2 ways, for example, as 100240144 + 2421136 = 10012^2 + 1556^2 .

It is a super-2 number, since 2×102661280² = 21078676822476800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 320657 + ... + 320976.

Almost surely, 2^102661280 is an apocalyptic number.

102661280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102661280 is an abundant number, since it is smaller than the sum of its proper divisors (139876372).

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

102661280 is an equidigital number, since it uses as much as digits as its factorization.

102661280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641648 (or 641640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 102661280 is about 10132.1902864090. The cubic root of 102661280 is about 468.2404102427.

The spelling of 102661280 in words is "one hundred two million, six hundred sixty-one thousand, two hundred eighty".