100325160 has 288 divisors, whose sum is σ = 377690040. Its totient is φ = 23003136.

The previous prime is 100325153. The next prime is 100325189. The reversal of 100325160 is 61523001.

It can be written as a sum of positive squares in 12 ways, for example, as 285156 + 100040004 = 534^2 + 10002^2 .

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 71 ways as a sum of consecutive naturals, for example, 1034232 + ... + 1034328.

Almost surely, 2^100325160 is an apocalyptic number.

100325160 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 100325160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188845020).

100325160 is an abundant number, since it is smaller than the sum of its proper divisors (277364880).

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

100325160 is a wasteful number, since it uses less digits than its factorization.

100325160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100325160 is about 10016.2448053150. The cubic root of 100325160 is about 464.6614254074.

Adding to 100325160 its reverse (61523001), we get a palindrome (161848161).

The spelling of 100325160 in words is "one hundred million, three hundred twenty-five thousand, one hundred sixty".