102414312 has 384 divisors, whose sum is σ = 393120000. Its totient is φ = 23708160.

The previous prime is 102414293. The next prime is 102414337. The reversal of 102414312 is 213414201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3531514 + ... + 3531542.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 2^102414312 is an apocalyptic number.

102414312 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 102414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

102414312 is an abundant number, since it is smaller than the sum of its proper divisors (290705688).

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

102414312 is a wasteful number, since it uses less digits than its factorization.

102414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102414312 is about 10119.9956521730. The cubic root of 102414312 is about 467.8646332142.

Adding to 102414312 its reverse (213414201), we get a palindrome (315828513).

It can be divided in two parts, 102 and 414312, that added together give a palindrome (414414).

The spelling of 102414312 in words is "one hundred two million, four hundred fourteen thousand, three hundred twelve".