102608960 has 56 divisors (see below), whose sum is σ = 252785880. Its totient is φ = 39624704.

The previous prime is 102608927. The next prime is 102608963. The reversal of 102608960 is 69806201.

It can be written as a sum of positive squares in 4 ways, for example, as 2768896 + 99840064 = 1664^2 + 9992^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (102608963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3752 + ... + 14808.

Almost surely, 2^102608960 is an apocalyptic number.

102608960 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 102608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126392940).

102608960 is an abundant number, since it is smaller than the sum of its proper divisors (150176920).

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

102608960 is a wasteful number, since it uses less digits than its factorization.

102608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11103 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 102608960 is about 10129.6080871868. The cubic root of 102608960 is about 468.1608524932.

The spelling of 102608960 in words is "one hundred two million, six hundred eight thousand, nine hundred sixty".