102132315 has 36 divisors (see below), whose sum is σ = 186866784. Its totient is φ = 51595488.

The previous prime is 102132313. The next prime is 102132337. The reversal of 102132315 is 513231201.

It is not a de Polignac number, because 102132315 - 2¹ = 102132313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102132313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13102 + ... + 19388.

It is an arithmetic number, because the mean of its divisors is an integer number (5190744).

Almost surely, 2^102132315 is an apocalyptic number.

102132315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102132315 is a deficient number, since it is larger than the sum of its proper divisors (84734469).

102132315 is a wasteful number, since it uses less digits than its factorization.

102132315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102132315 is about 10106.0533839872. The cubic root of 102132315 is about 467.4348179496.

Adding to 102132315 its reverse (513231201), we get a palindrome (615363516).

The spelling of 102132315 in words is "one hundred two million, one hundred thirty-two thousand, three hundred fifteen".