100998144 has 176 divisors, whose sum is σ = 323262240. Its totient is φ = 30965760.

The previous prime is 100998143. The next prime is 100998151. The reversal of 100998144 is 441899001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100998099 and 100998108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100998143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359284 + ... + 359564.

Almost surely, 2^100998144 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 100998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161631120).

100998144 is an abundant number, since it is smaller than the sum of its proper divisors (222264096).

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

100998144 is a wasteful number, since it uses less digits than its factorization.

100998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100998144 is about 10049.7832812454. The cubic root of 100998144 is about 465.6980981525.

It can be divided in two parts, 1009981 and 44, that added together give a square (1010025 = 1005²).

The spelling of 100998144 in words is "one hundred million, nine hundred ninety-eight thousand, one hundred forty-four".