103006180 has 48 divisors (see below), whose sum is σ = 225598464. Its totient is φ = 39461760.

The previous prime is 103006171. The next prime is 103006193. The reversal of 103006180 is 81600301.

It is a super-2 number, since 2×103006180² = 21220546236384800, which contains 22 as substring.

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, 63054 + ... + 64666.

It is an arithmetic number, because the mean of its divisors is an integer number (4699968).

Almost surely, 2^103006180 is an apocalyptic number.

103006180 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 103006180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112799232).

103006180 is an abundant number, since it is smaller than the sum of its proper divisors (122592284).

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

103006180 is a wasteful number, since it uses less digits than its factorization.

103006180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 103006180 is about 10149.1960272723. The cubic root of 103006180 is about 468.7641896742.

Adding to 103006180 its reverse (81600301), we get a palindrome (184606481).

The spelling of 103006180 in words is "one hundred three million, six thousand, one hundred eighty".