100305540 has 72 divisors (see below), whose sum is σ = 315544320. Its totient is φ = 26746848.

The previous prime is 100305539. The next prime is 100305547. The reversal of 100305540 is 45503001.

It is a super-2 number, since 2×100305540² = 20122402709383200, which contains 22 as substring.

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 (100305547) 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, 5460 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (4382560).

Almost surely, 2^100305540 is an apocalyptic number.

100305540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100305540 is an abundant number, since it is smaller than the sum of its proper divisors (215238780).

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

100305540 is a wasteful number, since it uses less digits than its factorization.

100305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20663 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100305540 is about 10015.2653484568. The cubic root of 100305540 is about 464.6311330675.

Adding to 100305540 its reverse (45503001), we get a palindrome (145808541).

The spelling of 100305540 in words is "one hundred million, three hundred five thousand, five hundred forty".