102414105234 has 96 divisors (see below), whose sum is σ = 261971374080. Its totient is φ = 28296280800.

The previous prime is 102414105229. The next prime is 102414105247. The reversal of 102414105234 is 432501414201.

102414105234 is a `hidden beast` number, since 1 + 0 + 2 + 414 + 10 + 5 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102414105198 and 102414105207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5689869 + ... + 5707839.

It is an arithmetic number, because the mean of its divisors is an integer number (2728868480).

Almost surely, 2^102414105234 is an apocalyptic number.

102414105234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414105234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130985687040).

102414105234 is an abundant number, since it is smaller than the sum of its proper divisors (159557268846).

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

102414105234 is a wasteful number, since it uses less digits than its factorization.

102414105234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19476 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102414105234 its reverse (432501414201), we get a palindrome (534915519435).

The spelling of 102414105234 in words is "one hundred two billion, four hundred fourteen million, one hundred five thousand, two hundred thirty-four".