100444960 has 192 divisors, whose sum is σ = 306561024. Its totient is φ = 30182400.

The previous prime is 100444921. The next prime is 100444961. The reversal of 100444960 is 69444001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (100444961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381789 + ... + 382051.

It is an arithmetic number, because the mean of its divisors is an integer number (1596672).

Almost surely, 2^100444960 is an apocalyptic number.

100444960 is a gapful number since it is divisible by the number (10) 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 100444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280512).

100444960 is an abundant number, since it is smaller than the sum of its proper divisors (206116064).

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

100444960 is a wasteful number, since it uses less digits than its factorization.

100444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 100444960 is about 10022.2233062330. The cubic root of 100444960 is about 464.8463052389.

Adding to 100444960 its reverse (69444001), we get a palindrome (169888961).

The spelling of 100444960 in words is "one hundred million, four hundred forty-four thousand, nine hundred sixty".