102168540 has 60 divisors (see below), whose sum is σ = 320511576. Its totient is φ = 27244512.

The previous prime is 102168533. The next prime is 102168557. The reversal of 102168540 is 45861201.

102168540 is a `hidden beast` number, since 102 + 16 + 8 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29914 + ... + 33153.

Almost surely, 2^102168540 is an apocalyptic number.

102168540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102168540 is an abundant number, since it is smaller than the sum of its proper divisors (218343036).

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

102168540 is a wasteful number, since it uses less digits than its factorization.

102168540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63088 (or 63077 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102168540 is about 10107.8454677542. The cubic root of 102168540 is about 467.4900757614.

The spelling of 102168540 in words is "one hundred two million, one hundred sixty-eight thousand, five hundred forty".