100040034144 has 48 divisors (see below), whose sum is σ = 262752493248. Its totient is φ = 33327960192.

The previous prime is 100040034119. The next prime is 100040034163. The reversal of 100040034144 is 441430040001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100040034144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120022 + ... + 463125.

It is an arithmetic number, because the mean of its divisors is an integer number (5474010276).

Almost surely, 2^100040034144 is an apocalyptic number.

It is an amenable number.

100040034144 is an abundant number, since it is smaller than the sum of its proper divisors (162712459104).

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

100040034144 is a wasteful number, since it uses less digits than its factorization.

100040034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584947 (or 584939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100040034144 its reverse (441430040001), we get a palindrome (541470074145).

The spelling of 100040034144 in words is "one hundred billion, forty million, thirty-four thousand, one hundred forty-four".