102456153 has 12 divisors (see below), whose sum is σ = 149519188. Its totient is φ = 67599360.

The previous prime is 102456119. The next prime is 102456181. The reversal of 102456153 is 351654201.

102456153 is a `hidden beast` number, since 1 + 0 + 2 + 45 + 615 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40487769 + 61968384 = 6363^2 + 7872^2 .

It is not a de Polignac number, because 102456153 - 2⁸ = 102455897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102456103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57808 + ... + 59553.

Almost surely, 2^102456153 is an apocalyptic number.

It is an amenable number.

102456153 is a deficient number, since it is larger than the sum of its proper divisors (47063035).

102456153 is a wasteful number, since it uses less digits than its factorization.

102456153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117464 (or 117461 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 102456153 is about 10122.0626850460. The cubic root of 102456153 is about 467.9283393456.

The spelling of 102456153 in words is "one hundred two million, four hundred fifty-six thousand, one hundred fifty-three".