102135187 has 32 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 75304320.

The previous prime is 102135119. The next prime is 102135193. The reversal of 102135187 is 781531201.

It is not a de Polignac number, because 102135187 - 2¹⁵ = 102102419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102135107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117918 + ... + 118780.

It is an arithmetic number, because the mean of its divisors is an integer number (4199040).

Almost surely, 2^102135187 is an apocalyptic number.

102135187 is a deficient number, since it is larger than the sum of its proper divisors (32234093).

102135187 is a wasteful number, since it uses less digits than its factorization.

102135187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 102135187 is about 10106.1954760434. The cubic root of 102135187 is about 467.4391993908.

Adding to 102135187 its reverse (781531201), we get a palindrome (883666388).

It can be divided in two parts, 10213 and 5187, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 102135187 in words is "one hundred two million, one hundred thirty-five thousand, one hundred eighty-seven".