100240100103 has 64 divisors (see below), whose sum is σ = 158355832320. Its totient is φ = 55933862400.

The previous prime is 100240100053. The next prime is 100240100113. The reversal of 100240100103 is 301001042001.

It is a happy number.

It is not a de Polignac number, because 100240100103 - 2¹⁷ = 100239969031 is a prime.

It is a super-2 number, since 2×100240100103² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100240100113) 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 63 ways as a sum of consecutive naturals, for example, 32116383 + ... + 32119503.

It is an arithmetic number, because the mean of its divisors is an integer number (2474309880).

Almost surely, 2^100240100103 is an apocalyptic number.

100240100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100240100103 is a deficient number, since it is larger than the sum of its proper divisors (58115732217).

100240100103 is a wasteful number, since it uses less digits than its factorization.

100240100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100240100103 its reverse (301001042001), we get a palindrome (401241142104).

The spelling of 100240100103 in words is "one hundred billion, two hundred forty million, one hundred thousand, one hundred three".