102306138 has 48 divisors (see below), whose sum is σ = 230789088. Its totient is φ = 29983200.

The previous prime is 102306137. The next prime is 102306143. The reversal of 102306138 is 831603201.

It is not an unprimeable number, because it can be changed into a prime (102306133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62620 + ... + 64232.

It is an arithmetic number, because the mean of its divisors is an integer number (4808106).

Almost surely, 2^102306138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102306138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115394544).

102306138 is an abundant number, since it is smaller than the sum of its proper divisors (128482950).

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

102306138 is a wasteful number, since it uses less digits than its factorization.

102306138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102306138 is about 10114.6496726283. The cubic root of 102306138 is about 467.6998495451.

Adding to 102306138 its reverse (831603201), we get a palindrome (933909339).

The spelling of 102306138 in words is "one hundred two million, three hundred six thousand, one hundred thirty-eight".