99944100 has 54 divisors (see below), whose sum is σ = 313272050. Its totient is φ = 26651520.

The previous prime is 99944087. The next prime is 99944107. The reversal of 99944100 is 144999.

It can be written as a sum of positive squares in 3 ways, for example, as 12446784 + 87497316 = 3528^2 + 9354^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99944107) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 54625 + ... + 56424.

Almost surely, 2^99944100 is an apocalyptic number.

99944100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99944100 is an abundant number, since it is smaller than the sum of its proper divisors (213327950).

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

99944100 is a wasteful number, since it uses less digits than its factorization.

99944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111069 (or 111059 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99944100 is about 9997.2046092895. The cubic root of 99944100 is about 464.0723789687.

The spelling of 99944100 in words is "ninety-nine million, nine hundred forty-four thousand, one hundred".