102135 has 16 divisors (see below), whose sum is σ = 178560. Its totient is φ = 49440.

The previous prime is 102121. The next prime is 102139. The reversal of 102135 is 531201.

It is not a de Polignac number, because 102135 - 2⁵ = 102103 is a prime.

102135 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 102135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁰²¹³⁵ is an apocalyptic number.

102135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102135 is a deficient number, since it is larger than the sum of its proper divisors (76425).

102135 is a wasteful number, since it uses less digits than its factorization.

102135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102135 is about 319.5856692657. The cubic root of 102135 is about 46.7438914111.

Multiplying 102135 by its product of nonzero digits (30), we get a triangular number (3064050 = T₂₄₇₅).

Adding to 102135 its reverse (531201), we get a palindrome (633336).

It can be divided in two parts, 10 and 2135, that added together give a triangular number (2145 = T₆₅).

The spelling of 102135 in words is "one hundred two thousand, one hundred thirty-five".