102345672 has 96 divisors (see below), whose sum is σ = 302984640. Its totient is φ = 28617600.

The previous prime is 102345671. The next prime is 102345673. The reversal of 102345672 is 276543201.

It is an interprime number because it is at equal distance from previous prime (102345671) and next prime (102345673).

It is not an unprimeable number, because it can be changed into a prime (102345671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36397 + ... + 39107.

It is an arithmetic number, because the mean of its divisors is an integer number (3156090).

Almost surely, 2^102345672 is an apocalyptic number.

102345672 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 102345672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151492320).

102345672 is an abundant number, since it is smaller than the sum of its proper divisors (200638968).

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

102345672 is a wasteful number, since it uses less digits than its factorization.

102345672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 102345672 is about 10116.6037779484. The cubic root of 102345672 is about 467.7600859591.

Adding to 102345672 its reverse (276543201), we get a palindrome (378888873).

The spelling of 102345672 in words is "one hundred two million, three hundred forty-five thousand, six hundred seventy-two".