100028160 has 216 divisors, whose sum is σ = 365099280. Its totient is φ = 25214976.

The previous prime is 100028147. The next prime is 100028161. The reversal of 100028160 is 61820001.

100028160 = 160² + 161² + ... + 672².

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 (100028161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218652 + ... + 219108.

Almost surely, 2^100028160 is an apocalyptic number.

100028160 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 100028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182549640).

100028160 is an abundant number, since it is smaller than the sum of its proper divisors (265071120).

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

100028160 is a wasteful number, since it uses less digits than its factorization.

100028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100028160 is about 10001.4079008908. The cubic root of 100028160 is about 464.2024483194.

Adding to 100028160 its reverse (61820001), we get a palindrome (161848161).

The spelling of 100028160 in words is "one hundred million, twenty-eight thousand, one hundred sixty".