100450258560 has 192 divisors, whose sum is σ = 347488245000. Its totient is φ = 26738786304.

The previous prime is 100450258543. The next prime is 100450258583. The reversal of 100450258560 is 65852054001.

100450258560 is a `hidden beast` number, since 1 + 0 + 0 + 45 + 0 + 2 + 58 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31978022976 + 68472235584 = 178824^2 + 261672^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3262116 + ... + 3292764.

Almost surely, 2^100450258560 is an apocalyptic number.

100450258560 is a gapful number since it is divisible by the number (10) 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 100450258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173744122500).

100450258560 is an abundant number, since it is smaller than the sum of its proper divisors (247037986440).

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

100450258560 is a wasteful number, since it uses less digits than its factorization.

100450258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31243 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 100450258560 in words is "one hundred billion, four hundred fifty million, two hundred fifty-eight thousand, five hundred sixty".