100011540 has 48 divisors (see below), whose sum is σ = 280546560. Its totient is φ = 26620800.

The previous prime is 100011491. The next prime is 100011547. The reversal of 100011540 is 45110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011547) 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 15 ways as a sum of consecutive naturals, for example, 41365 + ... + 43715.

It is an arithmetic number, because the mean of its divisors is an integer number (5844720).

Almost surely, 2^100011540 is an apocalyptic number.

100011540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011540 is an abundant number, since it is smaller than the sum of its proper divisors (180535020).

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

100011540 is a wasteful number, since it uses less digits than its factorization.

100011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 100011540 is about 10000.5769833545. The cubic root of 100011540 is about 464.1767373196.

Adding to 100011540 its reverse (45110001), we get a palindrome (145121541).

The spelling of 100011540 in words is "one hundred million, eleven thousand, five hundred forty".