100845212160 has 640 divisors, whose sum is σ = 414981439488. Its totient is φ = 20275200000.

The previous prime is 100845212099. The next prime is 100845212173. The reversal of 100845212160 is 61212548001.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18329410 + ... + 18334910.

Almost surely, 2^100845212160 is an apocalyptic number.

100845212160 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 100845212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207490719744).

100845212160 is an abundant number, since it is smaller than the sum of its proper divisors (314136227328).

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

100845212160 is a wasteful number, since it uses less digits than its factorization.

100845212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 100845212160 in words is "one hundred billion, eight hundred forty-five million, two hundred twelve thousand, one hundred sixty".