100244440032 has 96 divisors (see below), whose sum is σ = 287177425920. Its totient is φ = 30365061120.

The previous prime is 100244440031. The next prime is 100244440033. The reversal of 100244440032 is 230044442001.

It is a happy number.

100244440032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100244440031) and next prime (100244440033).

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

It is a super-2 number, since 2×100244440032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100244439984 and 100244440011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100244440031) 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, 2853808 + ... + 2888720.

It is an arithmetic number, because the mean of its divisors is an integer number (2991431520).

Almost surely, 2^100244440032 is an apocalyptic number.

100244440032 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 100244440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143588712960).

100244440032 is an abundant number, since it is smaller than the sum of its proper divisors (186932985888).

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

100244440032 is a wasteful number, since it uses less digits than its factorization.

100244440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37656 (or 37648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100244440032 its reverse (230044442001), we get a palindrome (330288882033).

The spelling of 100244440032 in words is "one hundred billion, two hundred forty-four million, four hundred forty thousand, thirty-two".