102810980 has 24 divisors (see below), whose sum is σ = 217888440. Its totient is φ = 40746240.

The previous prime is 102810971. The next prime is 102810991. The reversal of 102810980 is 89018201.

It can be written as a sum of positive squares in 4 ways, for example, as 5354596 + 97456384 = 2314^2 + 9872^2 .

It is a super-3 number, since 3×102810980³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21401 + ... + 25760.

It is an arithmetic number, because the mean of its divisors is an integer number (9078685).

Almost surely, 2^102810980 is an apocalyptic number.

102810980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102810980 is an abundant number, since it is smaller than the sum of its proper divisors (115077460).

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

102810980 is a wasteful number, since it uses less digits than its factorization.

102810980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47279 (or 47277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 102810980 is about 10139.5749417813. The cubic root of 102810980 is about 468.4678947302.

The spelling of 102810980 in words is "one hundred two million, eight hundred ten thousand, nine hundred eighty".