102132114 has 16 divisors (see below), whose sum is σ = 233444928. Its totient is φ = 29180592.

The previous prime is 102132101. The next prime is 102132119. The reversal of 102132114 is 411231201.

It is a junction number, because it is equal to n+sod(n) for n = 102132093 and 102132102.

It is not an unprimeable number, because it can be changed into a prime (102132119) 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, 1215817 + ... + 1215900.

It is an arithmetic number, because the mean of its divisors is an integer number (14590308).

Almost surely, 2^102132114 is an apocalyptic number.

102132114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102132114 is an abundant number, since it is smaller than the sum of its proper divisors (131312814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132114 is a wasteful number, since it uses less digits than its factorization.

102132114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431729.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102132114 is about 10106.0434394475. The cubic root of 102132114 is about 467.4345113066.

Adding to 102132114 its reverse (411231201), we get a palindrome (513363315).

The spelling of 102132114 in words is "one hundred two million, one hundred thirty-two thousand, one hundred fourteen".