88100144 has 80 divisors (see below), whose sum is σ = 197799840. Its totient is φ = 37632000.

The previous prime is 88100113. The next prime is 88100167. The reversal of 88100144 is 44100188.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209054 + ... + 209474.

It is an arithmetic number, because the mean of its divisors is an integer number (2472498).

Almost surely, 2^88100144 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 88100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98899920).

88100144 is an abundant number, since it is smaller than the sum of its proper divisors (109699696).

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

88100144 is a wasteful number, since it uses less digits than its factorization.

88100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 88100144 is about 9386.1676950713. The cubic root of 88100144 is about 444.9646801071.

The spelling of 88100144 in words is "eighty-eight million, one hundred thousand, one hundred forty-four".