100544160 has 192 divisors, whose sum is σ = 339655680. Its totient is φ = 24944640.

The previous prime is 100544159. The next prime is 100544161. The reversal of 100544160 is 61445001.

It is an interprime number because it is at equal distance from previous prime (100544159) and next prime (100544161).

It is a super-2 number, since 2×100544160² = 20218256220211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100544161) 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, 431404 + ... + 431636.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^100544160 is an apocalyptic number.

100544160 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 100544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

100544160 is an abundant number, since it is smaller than the sum of its proper divisors (239111520).

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

100544160 is a wasteful number, since it uses less digits than its factorization.

100544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100544160 is about 10027.1710866026. The cubic root of 100544160 is about 464.9992831530. Note that the first 3 decimals are identical.

Adding to 100544160 its reverse (61445001), we get a palindrome (161989161).

The spelling of 100544160 in words is "one hundred million, five hundred forty-four thousand, one hundred sixty".