102132030 has 256 divisors, whose sum is σ = 348364800. Its totient is φ = 18455040.

The previous prime is 102131969. The next prime is 102132031. The reversal of 102132030 is 30231201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102131997 and 102132015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 570481 + ... + 570659.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^102132030 is an apocalyptic number.

102132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

102132030 is an abundant number, since it is smaller than the sum of its proper divisors (246232770).

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

102132030 is a wasteful number, since it uses less digits than its factorization.

102132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102132030 is about 10106.0392835176. The cubic root of 102132030 is about 467.4343831572.

Adding to 102132030 its reverse (30231201), we get a palindrome (132363231).

The spelling of 102132030 in words is "one hundred two million, one hundred thirty-two thousand, thirty".