102264640 has 28 divisors (see below), whose sum is σ = 243518436. Its totient is φ = 40905728.

The previous prime is 102264623. The next prime is 102264653. The reversal of 102264640 is 46462201.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 48330304 = 7344^2 + 6952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159469 + ... + 160108.

It is an arithmetic number, because the mean of its divisors is an integer number (8697087).

Almost surely, 2^102264640 is an apocalyptic number.

102264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102264640 is an abundant number, since it is smaller than the sum of its proper divisors (141253796).

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

102264640 is an equidigital number, since it uses as much as digits as its factorization.

102264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319594 (or 319584 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 102264640 is about 10112.5980835787. The cubic root of 102264640 is about 467.6366039649.

The spelling of 102264640 in words is "one hundred two million, two hundred sixty-four thousand, six hundred forty".