102006161334 has 96 divisors (see below), whose sum is σ = 276382828800. Its totient is φ = 26414942400.

The previous prime is 102006161311. The next prime is 102006161347. The reversal of 102006161334 is 433161600201.

102006161334 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 616 + 13 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102006161298 and 102006161307.

It is a congruent number.

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, 347592 + ... + 569940.

It is an arithmetic number, because the mean of its divisors is an integer number (2878987800).

Almost surely, 2^102006161334 is an apocalyptic number.

102006161334 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 102006161334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138191414400).

102006161334 is an abundant number, since it is smaller than the sum of its proper divisors (174376667466).

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

102006161334 is a wasteful number, since it uses less digits than its factorization.

102006161334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222706 (or 222703 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102006161334 its reverse (433161600201), we get a palindrome (535167761535).

The spelling of 102006161334 in words is "one hundred two billion, six million, one hundred sixty-one thousand, three hundred thirty-four".