102820146660 has 576 divisors, whose sum is σ = 407353847040. Its totient is φ = 21290895360.

The previous prime is 102820146647. The next prime is 102820146707. The reversal of 102820146660 is 66641028201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133014034 + ... + 133014806.

It is an arithmetic number, because the mean of its divisors is an integer number (707211540).

Almost surely, 2^102820146660 is an apocalyptic number.

102820146660 is a gapful number since it is divisible by the number (10) 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 102820146660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203676923520).

102820146660 is an abundant number, since it is smaller than the sum of its proper divisors (304533700380).

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

102820146660 is a wasteful number, since it uses less digits than its factorization.

102820146660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 102820146660 in words is "one hundred two billion, eight hundred twenty million, one hundred forty-six thousand, six hundred sixty".