10287135 has 32 divisors (see below), whose sum is σ = 18432960. Its totient is φ = 5443200.

The previous prime is 10287107. The next prime is 10287157. The reversal of 10287135 is 53178201.

It is not a de Polignac number, because 10287135 - 2¹⁴ = 10270751 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10287099 and 10287108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24225 + ... + 24645.

It is an arithmetic number, because the mean of its divisors is an integer number (576030).

Almost surely, 2^10287135 is an apocalyptic number.

10287135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10287135 is a deficient number, since it is larger than the sum of its proper divisors (8145825).

10287135 is a wasteful number, since it uses less digits than its factorization.

10287135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10287135 is about 3207.3563880554. The cubic root of 10287135 is about 217.4860871005.

The spelling of 10287135 in words is "ten million, two hundred eighty-seven thousand, one hundred thirty-five".