100575160320 has 384 divisors, whose sum is σ = 329918883840. Its totient is φ = 26148864000.

The previous prime is 100575160303. The next prime is 100575160321. The reversal of 100575160320 is 23061575001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100575160321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 357918580 + ... + 357918860.

It is an arithmetic number, because the mean of its divisors is an integer number (859163760).

Almost surely, 2^100575160320 is an apocalyptic number.

100575160320 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 100575160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164959441920).

100575160320 is an abundant number, since it is smaller than the sum of its proper divisors (229343723520).

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

100575160320 is a wasteful number, since it uses less digits than its factorization.

100575160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 100575160320 in words is "one hundred billion, five hundred seventy-five million, one hundred sixty thousand, three hundred twenty".