102054960 has 120 divisors (see below), whose sum is σ = 391716000. Its totient is φ = 23325696.

The previous prime is 102054959. The next prime is 102054977. The reversal of 102054960 is 69450201.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5085 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2^102054960 is an apocalyptic number.

102054960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102054960 is an abundant number, since it is smaller than the sum of its proper divisors (289661040).

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

102054960 is a wasteful number, since it uses less digits than its factorization.

102054960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20275 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102054960 is about 10102.2254973842. The cubic root of 102054960 is about 467.3167764561.

The spelling of 102054960 in words is "one hundred two million, fifty-four thousand, nine hundred sixty".