102960000 has 480 divisors, whose sum is σ = 434954520. Its totient is φ = 23040000.

The previous prime is 102959999. The next prime is 102960037. The reversal of 102960000 is 69201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7919994 + ... + 7920006.

Almost surely, 2^102960000 is an apocalyptic number.

102960000 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 102960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217477260).

102960000 is an abundant number, since it is smaller than the sum of its proper divisors (331994520).

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

102960000 is a wasteful number, since it uses less digits than its factorization.

102960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102960000 is about 10146.9207151727. The cubic root of 102960000 is about 468.6941266737.

The spelling of 102960000 in words is "one hundred two million, nine hundred sixty thousand".