102132809 has 8 divisors (see below), whose sum is σ = 111216000. Its totient is φ = 93420432.

The previous prime is 102132803. The next prime is 102132827. The reversal of 102132809 is 908231201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102132809 - 2⁸ = 102132553 is a prime.

It is a super-2 number, since 2×102132809² = 20862221348460962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92129 + ... + 93230.

It is an arithmetic number, because the mean of its divisors is an integer number (13902000).

Almost surely, 2^102132809 is an apocalyptic number.

102132809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102132809 is a deficient number, since it is larger than the sum of its proper divisors (9083191).

102132809 is a wasteful number, since it uses less digits than its factorization.

102132809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185407.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 102132809 is about 10106.0778247548. The cubic root of 102132809 is about 467.4355715877.

The spelling of 102132809 in words is "one hundred two million, one hundred thirty-two thousand, eight hundred nine".