102083528451168 has 1152 divisors, whose sum is σ = 353094496634880. Its totient is φ = 27613902274560.

The previous prime is 102083528451161. The next prime is 102083528451173. The reversal of 102083528451168 is 861154825380201.

102083528451168 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 3 + 5 + 28 + 451 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102083528451161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61607439396 + ... + 61607441052.

It is an arithmetic number, because the mean of its divisors is an integer number (306505639440).

Almost surely, 2^{102083528451168} is an apocalyptic number.

102083528451168 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 102083528451168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176547248317440).

102083528451168 is an abundant number, since it is smaller than the sum of its proper divisors (251010968183712).

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

102083528451168 is a wasteful number, since it uses less digits than its factorization.

102083528451168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

It can be divided in two parts, 1020835 and 28451168, that added together give a triangular number (29472003 = T₇₆₇₇).

The spelling of 102083528451168 in words is "one hundred two trillion, eighty-three billion, five hundred twenty-eight million, four hundred fifty-one thousand, one hundred sixty-eight".