100107180 has 72 divisors (see below), whose sum is σ = 310145472. Its totient is φ = 26125056.

The previous prime is 100107151. The next prime is 100107197. The reversal of 100107180 is 81701001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2544 + ... + 14376.

It is an arithmetic number, because the mean of its divisors is an integer number (4307576).

Almost surely, 2^100107180 is an apocalyptic number.

100107180 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 100107180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155072736).

100107180 is an abundant number, since it is smaller than the sum of its proper divisors (210038292).

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

100107180 is a wasteful number, since it uses less digits than its factorization.

100107180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 100107180 is about 10005.3575648250. The cubic root of 100107180 is about 464.3246526486.

Adding to 100107180 its reverse (81701001), we get a palindrome (181808181).

The spelling of 100107180 in words is "one hundred million, one hundred seven thousand, one hundred eighty".