102135405 has 32 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 51055616.

The previous prime is 102135391. The next prime is 102135409. The reversal of 102135405 is 504531201.

It is a cyclic number.

It is not a de Polignac number, because 102135405 - 2⁵ = 102135373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102135409) 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, 74032 + ... + 75398.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^102135405 is an apocalyptic number.

102135405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102135405 is a deficient number, since it is larger than the sum of its proper divisors (71611539).

102135405 is a wasteful number, since it uses less digits than its factorization.

102135405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 102135405 is about 10106.2062615009. The cubic root of 102135405 is about 467.4395319621.

Adding to 102135405 its reverse (504531201), we get a palindrome (606666606).

The spelling of 102135405 in words is "one hundred two million, one hundred thirty-five thousand, four hundred five".