102242712 has 128 divisors (see below), whose sum is σ = 310302720. Its totient is φ = 27676800.

The previous prime is 102242687. The next prime is 102242717. The reversal of 102242712 is 217242201.

It is a super-2 number, since 2×102242712² = 20907144314229888, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242717) 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, 3298137 + ... + 3298167.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2^102242712 is an apocalyptic number.

102242712 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 102242712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

102242712 is an abundant number, since it is smaller than the sum of its proper divisors (208060008).

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

102242712 is a wasteful number, since it uses less digits than its factorization.

102242712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 102242712 is about 10111.5138332497. The cubic root of 102242712 is about 467.6031773948.

Adding to 102242712 its reverse (217242201), we get a palindrome (319484913).

It can be divided in two parts, 1022 and 42712, that added together give a palindrome (43734).

The spelling of 102242712 in words is "one hundred two million, two hundred forty-two thousand, seven hundred twelve".