102306960 has 240 divisors, whose sum is σ = 401117184. Its totient is φ = 22883328.

The previous prime is 102306959. The next prime is 102306973. The reversal of 102306960 is 69603201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266929 + ... + 267311.

Almost surely, 2^102306960 is an apocalyptic number.

102306960 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 102306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

102306960 is an abundant number, since it is smaller than the sum of its proper divisors (298810224).

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

102306960 is a wasteful number, since it uses less digits than its factorization.

102306960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 102306960 is about 10114.6903066777. The cubic root of 102306960 is about 467.7011021524.

The spelling of 102306960 in words is "one hundred two million, three hundred six thousand, nine hundred sixty".