100441152 has 168 divisors, whose sum is σ = 340766400. Its totient is φ = 27675648.

The previous prime is 100441129. The next prime is 100441193. The reversal of 100441152 is 251144001.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116499 + ... + 117357.

Almost surely, 2^100441152 is an apocalyptic number.

100441152 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 100441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170383200).

100441152 is an abundant number, since it is smaller than the sum of its proper divisors (240325248).

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

100441152 is a wasteful number, since it uses less digits than its factorization.

100441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100441152 is about 10022.0333266259. The cubic root of 100441152 is about 464.8404308539.

Adding to 100441152 its reverse (251144001), we get a palindrome (351585153).

The spelling of 100441152 in words is "one hundred million, four hundred forty-one thousand, one hundred fifty-two".