100110310040 has 128 divisors (see below), whose sum is σ = 252316753920. Its totient is φ = 35497612800.

The previous prime is 100110310007. The next prime is 100110310043. The reversal of 100110310040 is 40013011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110310043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088017 + ... + 2135423.

It is an arithmetic number, because the mean of its divisors is an integer number (1971224640).

Almost surely, 2^100110310040 is an apocalyptic number.

100110310040 is a gapful number since it is divisible by the number (10) 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 100110310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126158376960).

100110310040 is an abundant number, since it is smaller than the sum of its proper divisors (152206443880).

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

100110310040 is a wasteful number, since it uses less digits than its factorization.

100110310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47593 (or 47589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100110310040 its reverse (40013011001), we get a palindrome (140123321041).

The spelling of 100110310040 in words is "one hundred billion, one hundred ten million, three hundred ten thousand, forty".