102405960 has 192 divisors, whose sum is σ = 365180400. Its totient is φ = 24772608.

The previous prime is 102405937. The next prime is 102405967. The reversal of 102405960 is 69504201.

It can be written as a sum of positive squares in 8 ways, for example, as 90668484 + 11737476 = 9522^2 + 3426^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102405967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177192 + ... + 177768.

Almost surely, 2^102405960 is an apocalyptic number.

102405960 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 102405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182590200).

102405960 is an abundant number, since it is smaller than the sum of its proper divisors (262774440).

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

102405960 is a wasteful number, since it uses less digits than its factorization.

102405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102405960 is about 10119.5829953610. The cubic root of 102405960 is about 467.8519145764.

The spelling of 102405960 in words is "one hundred two million, four hundred five thousand, nine hundred sixty".