102115242 has 60 divisors (see below), whose sum is σ = 234041346. Its totient is φ = 33274800.

The previous prime is 102115217. The next prime is 102115267. The reversal of 102115242 is 242511201.

It is an interprime number because it is at equal distance from previous prime (102115217) and next prime (102115267).

It can be written as a sum of positive squares in only one way, i.e., 61168041 + 40947201 = 7821^2 + 6399^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1010992 + ... + 1011092.

Almost surely, 2^102115242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102115242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117020673).

102115242 is an abundant number, since it is smaller than the sum of its proper divisors (131926104).

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

102115242 is an equidigital number, since it uses as much as digits as its factorization.

102115242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102115242 is about 10105.2086569254. The cubic root of 102115242 is about 467.4087701723.

Adding to 102115242 its reverse (242511201), we get a palindrome (344626443).

The spelling of 102115242 in words is "one hundred two million, one hundred fifteen thousand, two hundred forty-two".