100608144 has 160 divisors (see below), whose sum is σ = 330645504. Its totient is φ = 25643520.

The previous prime is 100608133. The next prime is 100608161. The reversal of 100608144 is 441806001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135037 + ... + 135779.

Almost surely, 2^100608144 is an apocalyptic number.

100608144 is a gapful number since it is divisible by the number (14) 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 100608144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

100608144 is an abundant number, since it is smaller than the sum of its proper divisors (230037360).

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

100608144 is a wasteful number, since it uses less digits than its factorization.

100608144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100608144 is about 10030.3611101495. The cubic root of 100608144 is about 465.0979005336.

The spelling of 100608144 in words is "one hundred million, six hundred eight thousand, one hundred forty-four".