102010159728 has 560 divisors, whose sum is σ = 326317685760. Its totient is φ = 30780642816.

The previous prime is 102010159661. The next prime is 102010159733. The reversal of 102010159728 is 827951010201.

It is a happy number.

102010159728 is a `hidden beast` number, since 10 + 20 + 10 + 1 + 597 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102010159692 and 102010159701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 426820633 + ... + 426820871.

Almost surely, 2^102010159728 is an apocalyptic number.

102010159728 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 102010159728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163158842880).

102010159728 is an abundant number, since it is smaller than the sum of its proper divisors (224307526032).

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

102010159728 is a wasteful number, since it uses less digits than its factorization.

102010159728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 102010159728 its reverse (827951010201), we get a palindrome (929961169929).

The spelling of 102010159728 in words is "one hundred two billion, ten million, one hundred fifty-nine thousand, seven hundred twenty-eight".