100273324032 has 576 divisors, whose sum is σ = 350807806440. Its totient is φ = 28538044416.

The previous prime is 100273324009. The next prime is 100273324061. The reversal of 100273324032 is 230423372001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100273323987 and 100273324005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390168448 + ... + 390168704.

Almost surely, 2^100273324032 is an apocalyptic number.

100273324032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100273324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175403903220).

100273324032 is an abundant number, since it is smaller than the sum of its proper divisors (250534482408).

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

100273324032 is an frugal number, since it uses more digits than its factorization.

100273324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 100273324032 its reverse (230423372001), we get a palindrome (330696696033).

The spelling of 100273324032 in words is "one hundred billion, two hundred seventy-three million, three hundred twenty-four thousand, thirty-two".