100144202434432 has 128 divisors (see below), whose sum is σ = 222747755529600. Its totient is φ = 44528933191680.

The previous prime is 100144202434417. The next prime is 100144202434433. The reversal of 100144202434432 is 234434202441001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100144202434432² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144202434433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19782457 + ... + 24323527.

It is an arithmetic number, because the mean of its divisors is an integer number (1740216840075).

Almost surely, 2^{100144202434432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100144202434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111373877764800).

100144202434432 is an abundant number, since it is smaller than the sum of its proper divisors (122603553095168).

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

100144202434432 is a wasteful number, since it uses less digits than its factorization.

100144202434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541584 (or 4541572 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 100144202434432 its reverse (234434202441001), we get a palindrome (334578404875433).

The spelling of 100144202434432 in words is "one hundred trillion, one hundred forty-four billion, two hundred two million, four hundred thirty-four thousand, four hundred thirty-two".