100444032 has 192 divisors, whose sum is σ = 328582800. Its totient is φ = 29196288.

The previous prime is 100444031. The next prime is 100444033. The reversal of 100444032 is 230444001.

It is an interprime number because it is at equal distance from previous prime (100444031) and next prime (100444033).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100443996 and 100444014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284368 + ... + 284720.

Almost surely, 2^100444032 is an apocalyptic number.

100444032 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 100444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164291400).

100444032 is an abundant number, since it is smaller than the sum of its proper divisors (228138768).

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

100444032 is a wasteful number, since it uses less digits than its factorization.

100444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100444032 is about 10022.1770090136. The cubic root of 100444032 is about 464.8448736797.

Adding to 100444032 its reverse (230444001), we get a palindrome (330888033).

The spelling of 100444032 in words is "one hundred million, four hundred forty-four thousand, thirty-two".