102266640 has 240 divisors, whose sum is σ = 398331648. Its totient is φ = 23030784.

The previous prime is 102266639. The next prime is 102266651. The reversal of 102266640 is 46662201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 519022 + ... + 519218.

Almost surely, 2^102266640 is an apocalyptic number.

102266640 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 102266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199165824).

102266640 is an abundant number, since it is smaller than the sum of its proper divisors (296065008).

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

102266640 is a wasteful number, since it uses less digits than its factorization.

102266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102266640 is about 10112.6969696516. The cubic root of 102266640 is about 467.6396524839.

The spelling of 102266640 in words is "one hundred two million, two hundred sixty-six thousand, six hundred forty".