102001680 has 320 divisors, whose sum is σ = 395331840. Its totient is φ = 24261120.

The previous prime is 102001667. The next prime is 102001681. The reversal of 102001680 is 86100201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102001681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924534 + ... + 1924586.

It is an arithmetic number, because the mean of its divisors is an integer number (1235412).

Almost surely, 2^102001680 is an apocalyptic number.

102001680 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 102001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

102001680 is an abundant number, since it is smaller than the sum of its proper divisors (293330160).

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

102001680 is an equidigital number, since it uses as much as digits as its factorization.

102001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102001680 is about 10099.5881104132. The cubic root of 102001680 is about 467.2354380215.

Adding to 102001680 its reverse (86100201), we get a palindrome (188101881).

The spelling of 102001680 in words is "one hundred two million, one thousand, six hundred eighty".