100103310285768 has 128 divisors (see below), whose sum is σ = 281423430288000. Its totient is φ = 32965933547520.

The previous prime is 100103310285731. The next prime is 100103310285827. The reversal of 100103310285768 is 867582013301001.

It is a happy number.

100103310285768 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 33 + 10 + 28 + 576 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7779928 + ... + 16147256.

It is an arithmetic number, because the mean of its divisors is an integer number (2198620549125).

Almost surely, 2^{100103310285768} is an apocalyptic number.

100103310285768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100103310285768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140711715144000).

100103310285768 is an abundant number, since it is smaller than the sum of its proper divisors (181320120002232).

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

100103310285768 is a wasteful number, since it uses less digits than its factorization.

100103310285768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368012 (or 8368002 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 100103310285768 its reverse (867582013301001), we get a palindrome (967685323586769).

The spelling of 100103310285768 in words is "one hundred trillion, one hundred three billion, three hundred ten million, two hundred eighty-five thousand, seven hundred sixty-eight".