100029066144 has 96 divisors (see below), whose sum is σ = 300141313920. Its totient is φ = 28574579712.

The previous prime is 100029066103. The next prime is 100029066149. The reversal of 100029066144 is 441660920001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100029066149) 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, 5251582 + ... + 5270594.

It is an arithmetic number, because the mean of its divisors is an integer number (3126472020).

Almost surely, 2^100029066144 is an apocalyptic number.

100029066144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100029066144 is an abundant number, since it is smaller than the sum of its proper divisors (200112247776).

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

100029066144 is a wasteful number, since it uses less digits than its factorization.

100029066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26862 (or 26854 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 100029066144 its reverse (441660920001), we get a palindrome (541689986145).

The spelling of 100029066144 in words is "one hundred billion, twenty-nine million, sixty-six thousand, one hundred forty-four".