100034444310 has 32 divisors (see below), whose sum is σ = 246571389792. Its totient is φ = 25954882560.

The previous prime is 100034444299. The next prime is 100034444311. The reversal of 100034444310 is 13444430001.

100034444310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100034444310² (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 (100034444311) 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 15 ways as a sum of consecutive naturals, for example, 45059451 + ... + 45061670.

It is an arithmetic number, because the mean of its divisors is an integer number (7705355931).

Almost surely, 2^100034444310 is an apocalyptic number.

100034444310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100034444310 is an abundant number, since it is smaller than the sum of its proper divisors (146536945482).

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

100034444310 is a wasteful number, since it uses less digits than its factorization.

100034444310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90121168.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100034444310 its reverse (13444430001), we get a palindrome (113478874311).

The spelling of 100034444310 in words is "one hundred billion, thirty-four million, four hundred forty-four thousand, three hundred ten".