102340224 has 240 divisors, whose sum is σ = 352841970. Its totient is φ = 28449792.

The previous prime is 102340211. The next prime is 102340237. The reversal of 102340224 is 422043201.

102340224 is a `hidden beast` number, since 102 + 340 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (102340211) and next prime (102340237).

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 34574400 = 8232^2 + 5880^2 .

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 102340197 and 102340206.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2765934 + ... + 2765970.

Almost surely, 2^102340224 is an apocalyptic number.

102340224 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 102340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176420985).

102340224 is an abundant number, since it is smaller than the sum of its proper divisors (250501746).

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

102340224 is an frugal number, since it uses more digits than its factorization.

102340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102340224 is about 10116.3345140421. The cubic root of 102340224 is about 467.7517859756.

Adding to 102340224 its reverse (422043201), we get a palindrome (524383425).

The spelling of 102340224 in words is "one hundred two million, three hundred forty thousand, two hundred twenty-four".