100305660 has 96 divisors (see below), whose sum is σ = 345687552. Its totient is φ = 21162240.

The previous prime is 100305649. The next prime is 100305679. The reversal of 100305660 is 66503001.

It is a super-2 number, since 2×100305660² = 20122450856071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3726 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (3600912).

Almost surely, 2^100305660 is an apocalyptic number.

100305660 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 100305660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172843776).

100305660 is an abundant number, since it is smaller than the sum of its proper divisors (245381892).

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

100305660 is a wasteful number, since it uses less digits than its factorization.

100305660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18403 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 100305660 is about 10015.2713393098. The cubic root of 100305660 is about 464.6313183538.

Adding to 100305660 its reverse (66503001), we get a palindrome (166808661).

The spelling of 100305660 in words is "one hundred million, three hundred five thousand, six hundred sixty".