109998144 has 189 divisors, whose sum is σ = 347854143. Its totient is φ = 33225984.

The previous prime is 109998139. The next prime is 109998149. The reversal of 109998144 is 441899901.

The square root of 109998144 is 10488.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (109998139) and next prime (109998149).

It is a self number, because there is not a number n which added to its sum of digits gives 109998144.

It is not an unprimeable number, because it can be changed into a prime (109998149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4782517 + ... + 4782539.

Almost surely, 2^109998144 is an apocalyptic number.

109998144 is the 10488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109998144

109998144 is an abundant number, since it is smaller than the sum of its proper divisors (237855999).

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

109998144 is a wasteful number, since it uses less digits than its factorization.

109998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The cubic root of 109998144 is about 479.1392908804.

The spelling of 109998144 in words is "one hundred nine million, nine hundred ninety-eight thousand, one hundred forty-four".