100034240303440 has 40 divisors (see below), whose sum is σ = 232602482030760. Its totient is φ = 40009760925696.

The previous prime is 100034240303287. The next prime is 100034240303443. The reversal of 100034240303440 is 44303042430001.

It can be written as a sum of positive squares in 4 ways, for example, as 16271768333584 + 83762471969856 = 4033828^2 + 9152184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 100034240303399 and 100034240303408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034240303443) 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, 60668829 + ... + 62295868.

It is an arithmetic number, because the mean of its divisors is an integer number (5815062050769).

Almost surely, 2^{100034240303440} is an apocalyptic number.

100034240303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034240303440 is an abundant number, since it is smaller than the sum of its proper divisors (132568241727320).

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

100034240303440 is a wasteful number, since it uses less digits than its factorization.

100034240303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122974879 (or 122974873 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 100034240303440 its reverse (44303042430001), we get a palindrome (144337282733441).

The spelling of 100034240303440 in words is "one hundred trillion, thirty-four billion, two hundred forty million, three hundred three thousand, four hundred forty".