102114506088 has 192 divisors, whose sum is σ = 330521112000. Its totient is φ = 29126127744.

The previous prime is 102114506023. The next prime is 102114506161. The reversal of 102114506088 is 880605411201.

102114506088 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 45 + 0 + 608 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6480123 + ... + 6495861.

It is an arithmetic number, because the mean of its divisors is an integer number (1721464125).

Almost surely, 2^102114506088 is an apocalyptic number.

102114506088 is a gapful number since it is divisible by the number (18) 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 102114506088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165260556000).

102114506088 is an abundant number, since it is smaller than the sum of its proper divisors (228406605912).

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

102114506088 is a wasteful number, since it uses less digits than its factorization.

102114506088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16381 (or 16364 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 102114506088 its reverse (880605411201), we get a palindrome (982719917289).

The spelling of 102114506088 in words is "one hundred two billion, one hundred fourteen million, five hundred six thousand, eighty-eight".