100531540 has 36 divisors (see below), whose sum is σ = 224278236. Its totient is φ = 37844992.

The previous prime is 100531537. The next prime is 100531547. The reversal of 100531540 is 45135001.

It can be written as a sum of positive squares in 6 ways, for example, as 571536 + 99960004 = 756^2 + 9998^2 .

It is a super-3 number, since 3×100531540³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100531547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2917 + ... + 14476.

It is an arithmetic number, because the mean of its divisors is an integer number (6229951).

Almost surely, 2^100531540 is an apocalyptic number.

100531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100531540 is an abundant number, since it is smaller than the sum of its proper divisors (123746696).

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

100531540 is a wasteful number, since it uses less digits than its factorization.

100531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17436 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 100531540 is about 10026.5417767045. The cubic root of 100531540 is about 464.9798272360.

Adding to 100531540 its reverse (45135001), we get a palindrome (145666541).

The spelling of 100531540 in words is "one hundred million, five hundred thirty-one thousand, five hundred forty".