100103712 has 48 divisors (see below), whose sum is σ = 271256832. Its totient is φ = 32290560.

The previous prime is 100103711. The next prime is 100103719. The reversal of 100103712 is 217301001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100103691 and 100103700.

It is not an unprimeable number, because it can be changed into a prime (100103711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13843 + ... + 19794.

It is an arithmetic number, because the mean of its divisors is an integer number (5651184).

Almost surely, 2^100103712 is an apocalyptic number.

100103712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103712 is an abundant number, since it is smaller than the sum of its proper divisors (171153120).

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

100103712 is a wasteful number, since it uses less digits than its factorization.

100103712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33681 (or 33673 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 100103712 is about 10005.1842561744. The cubic root of 100103712 is about 464.3192907405.

Adding to 100103712 its reverse (217301001), we get a palindrome (317404713).

The spelling of 100103712 in words is "one hundred million, one hundred three thousand, seven hundred twelve".