10125180 has 72 divisors (see below), whose sum is σ = 33083232. Its totient is φ = 2491776.

The previous prime is 10125179. The next prime is 10125187. The reversal of 10125180 is 8152101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177 + ... + 4503.

Almost surely, 2^10125180 is an apocalyptic number.

10125180 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 10125180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541616).

10125180 is an abundant number, since it is smaller than the sum of its proper divisors (22958052).

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

10125180 is a wasteful number, since it uses less digits than its factorization.

10125180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10125180 is about 3182.0087994850. The cubic root of 10125180 is about 216.3387175381.

Adding to 10125180 its reverse (8152101), we get a palindrome (18277281).

It can be divided in two parts, 10125 and 180, that multiplied together give a square (1822500 = 1350²).

The spelling of 10125180 in words is "ten million, one hundred twenty-five thousand, one hundred eighty".