102948960 has 96 divisors (see below), whose sum is σ = 326833920. Its totient is φ = 27237888.

The previous prime is 102948947. The next prime is 102948971. The reversal of 102948960 is 69849201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65949 + ... + 67491.

It is an arithmetic number, because the mean of its divisors is an integer number (3404520).

Almost surely, 2^102948960 is an apocalyptic number.

102948960 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 102948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163416960).

102948960 is an abundant number, since it is smaller than the sum of its proper divisors (223884960).

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

102948960 is a wasteful number, since it uses less digits than its factorization.

102948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 102948960 is about 10146.3766931846. The cubic root of 102948960 is about 468.6773739927.

The spelling of 102948960 in words is "one hundred two million, nine hundred forty-eight thousand, nine hundred sixty".