10100015540 has 24 divisors (see below), whose sum is σ = 21508768512. Its totient is φ = 3983104160.

The previous prime is 10100015533. The next prime is 10100015551. The reversal of 10100015540 is 4551000101.

10100015540 is a modest number, since divided by 15540 gives 10100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3554924 + ... + 3557763.

It is an arithmetic number, because the mean of its divisors is an integer number (896198688).

Almost surely, 2^10100015540 is an apocalyptic number.

10100015540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100015540 is an abundant number, since it is smaller than the sum of its proper divisors (11408752972).

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

10100015540 is a wasteful number, since it uses less digits than its factorization.

10100015540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112767 (or 7112765 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 10100015540 its reverse (4551000101), we get a palindrome (14651015641).

The spelling of 10100015540 in words is "ten billion, one hundred million, fifteen thousand, five hundred forty".