102414340332 has 120 divisors (see below), whose sum is σ = 277257535632. Its totient is φ = 32944579200.

The previous prime is 102414340313. The next prime is 102414340339. The reversal of 102414340332 is 233043414201.

102414340332 is a `hidden beast` number, since 10 + 241 + 4 + 3 + 403 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102414340296 and 102414340305.

It is not an unprimeable number, because it can be changed into a prime (102414340339) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 998607 + ... + 1096377.

Almost surely, 2^102414340332 is an apocalyptic number.

102414340332 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 102414340332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138628767816).

102414340332 is an abundant number, since it is smaller than the sum of its proper divisors (174843195300).

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

102414340332 is a wasteful number, since it uses less digits than its factorization.

102414340332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97901 (or 97890 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102414340332 its reverse (233043414201), we get a palindrome (335457754533).

The spelling of 102414340332 in words is "one hundred two billion, four hundred fourteen million, three hundred forty thousand, three hundred thirty-two".