10100103180 has 192 divisors, whose sum is σ = 30942535680. Its totient is φ = 2454681600.

The previous prime is 10100103179. The next prime is 10100103193. The reversal of 10100103180 is 8130100101.

It is a super-2 number, since 2×10100103180² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2209257 + ... + 2213823.

It is an arithmetic number, because the mean of its divisors is an integer number (161159040).

Almost surely, 2^10100103180 is an apocalyptic number.

10100103180 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 10100103180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471267840).

10100103180 is an abundant number, since it is smaller than the sum of its proper divisors (20842432500).

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

10100103180 is a wasteful number, since it uses less digits than its factorization.

10100103180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100103180 its reverse (8130100101), we get a palindrome (18230203281).

The spelling of 10100103180 in words is "ten billion, one hundred million, one hundred three thousand, one hundred eighty".