102248640 has 168 divisors, whose sum is σ = 378884688. Its totient is φ = 25159680.

The previous prime is 102248621. The next prime is 102248647. The reversal of 102248640 is 46842201.

102248640 is a `hidden beast` number, since 10 + 2 + 2 + 4 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102248647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36075 + ... + 38805.

It is an arithmetic number, because the mean of its divisors is an integer number (2255266).

Almost surely, 2^102248640 is an apocalyptic number.

102248640 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 102248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189442344).

102248640 is an abundant number, since it is smaller than the sum of its proper divisors (276636048).

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

102248640 is a wasteful number, since it uses less digits than its factorization.

102248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102248640 is about 10111.8069601827. The cubic root of 102248640 is about 467.6122143814.

The spelling of 102248640 in words is "one hundred two million, two hundred forty-eight thousand, six hundred forty".