100104160 has 192 divisors, whose sum is σ = 285768000. Its totient is φ = 32735232.

The previous prime is 100104131. The next prime is 100104161. The reversal of 100104160 is 61401001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100104160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100104161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671766 + ... + 671914.

It is an arithmetic number, because the mean of its divisors is an integer number (1488375).

Almost surely, 2^100104160 is an apocalyptic number.

100104160 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 100104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884000).

100104160 is an abundant number, since it is smaller than the sum of its proper divisors (185663840).

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

100104160 is a wasteful number, since it uses less digits than its factorization.

100104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100104160 is about 10005.2066445426. The cubic root of 100104160 is about 464.3199834046.

Adding to 100104160 its reverse (61401001), we get a palindrome (161505161).

The spelling of 100104160 in words is "one hundred million, one hundred four thousand, one hundred sixty".