102006960 has 80 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 24728320.

The previous prime is 102006959. The next prime is 102006973. The reversal of 102006960 is 69600201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102006960.

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, 16680 + ... + 21959.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^102006960 is an apocalyptic number.

102006960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102006960 is an abundant number, since it is smaller than the sum of its proper divisors (242970960).

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

102006960 is a wasteful number, since it uses less digits than its factorization.

102006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38666 (or 38660 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102006960 is about 10099.8495038293. The cubic root of 102006960 is about 467.2434998513.

The spelling of 102006960 in words is "one hundred two million, six thousand, nine hundred sixty".