100895620224 has 128 divisors (see below), whose sum is σ = 306488033280. Its totient is φ = 28808709120.

The previous prime is 100895620223. The next prime is 100895620261. The reversal of 100895620224 is 422026598001.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (100895620223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4458859 + ... + 4481429.

It is an arithmetic number, because the mean of its divisors is an integer number (2394437760).

Almost surely, 2^100895620224 is an apocalyptic number.

100895620224 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 100895620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153244016640).

100895620224 is an abundant number, since it is smaller than the sum of its proper divisors (205592413056).

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

100895620224 is a wasteful number, since it uses less digits than its factorization.

100895620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24258 (or 24246 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 100895620224 in words is "one hundred billion, eight hundred ninety-five million, six hundred twenty thousand, two hundred twenty-four".