102306132 has 96 divisors (see below), whose sum is σ = 273490560. Its totient is φ = 33062400.

The previous prime is 102306109. The next prime is 102306133. The reversal of 102306132 is 231603201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102306133) 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, 905308 + ... + 905420.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^102306132 is an apocalyptic number.

102306132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102306132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

102306132 is an abundant number, since it is smaller than the sum of its proper divisors (171184428).

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

102306132 is a wasteful number, since it uses less digits than its factorization.

102306132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102306132 is about 10114.6493760288. The cubic root of 102306132 is about 467.6998404019.

Adding to 102306132 its reverse (231603201), we get a palindrome (333909333).

The spelling of 102306132 in words is "one hundred two million, three hundred six thousand, one hundred thirty-two".