102608640 has 144 divisors (see below), whose sum is σ = 364240800. Its totient is φ = 27353088.

The previous prime is 102608629. The next prime is 102608647. The reversal of 102608640 is 46806201.

102608640 is a `hidden beast` number, since 10 + 2 + 6 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102608647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33076 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (2529450).

Almost surely, 2^102608640 is an apocalyptic number.

102608640 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 102608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182120400).

102608640 is an abundant number, since it is smaller than the sum of its proper divisors (261632160).

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

102608640 is an equidigital number, since it uses as much as digits as its factorization.

102608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102608640 is about 10129.5922918941. The cubic root of 102608640 is about 468.1603658183.

The spelling of 102608640 in words is "one hundred two million, six hundred eight thousand, six hundred forty".