102010080 has 72 divisors (see below), whose sum is σ = 322030296. Its totient is φ = 27143680.

The previous prime is 102010039. The next prime is 102010087. The reversal of 102010080 is 80010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221050 + ... + 221510.

It is an arithmetic number, because the mean of its divisors is an integer number (4472643).

Almost surely, 2^102010080 is an apocalyptic number.

102010080 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 102010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161015148).

102010080 is an abundant number, since it is smaller than the sum of its proper divisors (220020216).

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

102010080 is an frugal number, since it uses more digits than its factorization.

102010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102010080 is about 10100.0039603953. The cubic root of 102010080 is about 467.2482635291.

Adding to 102010080 its reverse (80010201), we get a palindrome (182020281).

The spelling of 102010080 in words is "one hundred two million, ten thousand, eighty".