100641060 has 144 divisors (see below), whose sum is σ = 337100400. Its totient is φ = 24145920.

The previous prime is 100641059. The next prime is 100641061. The reversal of 100641060 is 60146001.

It is an interprime number because it is at equal distance from previous prime (100641059) and next prime (100641061).

It can be written as a sum of positive squares in 8 ways, for example, as 9400356 + 91240704 = 3066^2 + 9552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100641061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95416 + ... + 96464.

It is an arithmetic number, because the mean of its divisors is an integer number (2340975).

Almost surely, 2^100641060 is an apocalyptic number.

100641060 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 100641060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168550200).

100641060 is an abundant number, since it is smaller than the sum of its proper divisors (236459340).

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

100641060 is a wasteful number, since it uses less digits than its factorization.

100641060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100641060 is about 10032.0017942582. The cubic root of 100641060 is about 465.1486170814.

Adding to 100641060 its reverse (60146001), we get a palindrome (160787061).

The spelling of 100641060 in words is "one hundred million, six hundred forty-one thousand, sixty".