102345124 has 72 divisors (see below), whose sum is σ = 221090688. Its totient is φ = 41247360.

The previous prime is 102345107. The next prime is 102345127. The reversal of 102345124 is 421543201.

It is a junction number, because it is equal to n+sod(n) for n = 102345095 and 102345104.

It is not an unprimeable number, because it can be changed into a prime (102345127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328929 + ... + 329239.

It is an arithmetic number, because the mean of its divisors is an integer number (3070704).

Almost surely, 2^102345124 is an apocalyptic number.

102345124 is a gapful number since it is divisible by the number (14) 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 102345124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110545344).

102345124 is an abundant number, since it is smaller than the sum of its proper divisors (118745564).

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

102345124 is a wasteful number, since it uses less digits than its factorization.

102345124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 102345124 is about 10116.5766937240. The cubic root of 102345124 is about 467.7592510989.

Adding to 102345124 its reverse (421543201), we get a palindrome (523888325).

The spelling of 102345124 in words is "one hundred two million, three hundred forty-five thousand, one hundred twenty-four".