10102180 has 48 divisors (see below), whose sum is σ = 23659776. Its totient is φ = 3591680.

The previous prime is 10102177. The next prime is 10102201. The reversal of 10102180 is 8120101.

It is a self number, because there is not a number n which added to its sum of digits gives 10102180.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9852 + ... + 10828.

It is an arithmetic number, because the mean of its divisors is an integer number (492912).

Almost surely, 2^10102180 is an apocalyptic number.

10102180 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 10102180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829888).

10102180 is an abundant number, since it is smaller than the sum of its proper divisors (13557596).

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

10102180 is a wasteful number, since it uses less digits than its factorization.

10102180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 10102180 is about 3178.3926755516. The cubic root of 10102180 is about 216.1747842262.

Adding to 10102180 its reverse (8120101), we get a palindrome (18222281).

It can be divided in two parts, 101021 and 80, that added together give a palindrome (101101).

The spelling of 10102180 in words is "ten million, one hundred two thousand, one hundred eighty".