100155444 has 48 divisors (see below), whose sum is σ = 242860800. Its totient is φ = 32086656.

The previous prime is 100155443. The next prime is 100155457. The reversal of 100155444 is 444551001.

It is a happy number.

It is a super-2 number, since 2×100155444² = 20062225925674272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100155443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95877 + ... + 96915.

It is an arithmetic number, because the mean of its divisors is an integer number (5059600).

Almost surely, 2^100155444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100155444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121430400).

100155444 is an abundant number, since it is smaller than the sum of its proper divisors (142705356).

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

100155444 is a wasteful number, since it uses less digits than its factorization.

100155444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 100155444 is about 10007.7691819906. The cubic root of 100155444 is about 464.3992612315.

The spelling of 100155444 in words is "one hundred million, one hundred fifty-five thousand, four hundred forty-four".