102144960 has 168 divisors, whose sum is σ = 363748320. Its totient is φ = 26277888.

The previous prime is 102144953. The next prime is 102144979. The reversal of 102144960 is 69441201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82909 + ... + 84131.

Almost surely, 2^102144960 is an apocalyptic number.

102144960 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 102144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181874160).

102144960 is an abundant number, since it is smaller than the sum of its proper divisors (261603360).

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

102144960 is a wasteful number, since it uses less digits than its factorization.

102144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102144960 is about 10106.6789797638. The cubic root of 102144960 is about 467.4541081855.

The spelling of 102144960 in words is "one hundred two million, one hundred forty-four thousand, nine hundred sixty".